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Finding the Third Proportional to 3,337,305,483,485.40 and 7,157,485,774,406.40

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Solution

The third proportional to 3,337,305,483,485.40 and 7,157,485,774,406.40 is: 15,350,588,330,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337,305,483,485.40 : 7,157,485,774,406.40 = 7,157,485,774,406.40 : x
  2. Step 2: Convert to fraction form
    3,337,305,483,485.40/7,157,485,774,406.40 = 7,157,485,774,406.40/x
  3. Step 3: Cross multiply
    3,337,305,483,485.40x = 7,157,485,774,406.40 × 7,157,485,774,406.40
  4. Step 4: Simplify right side
    3,337,305,483,485.40x = 51,229,602,610,829,987,493,707,776
  5. Step 5: Solve for x
    x = 51,229,602,610,829,987,493,707,776/3,337,305,483,485.40
  6. Step 6: Final answer
    x = 15,350,588,330,717.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.