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Finding the Third Proportional to 30,186,019.13 and 47,072,638.88

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Solution

The third proportional to 30,186,019.13 and 47,072,638.88 is: 73,405,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,186,019.13 : 47,072,638.88 = 47,072,638.88 : x
  2. Step 2: Convert to fraction form
    30,186,019.13/47,072,638.88 = 47,072,638.88/x
  3. Step 3: Cross multiply
    30,186,019.13x = 47,072,638.88 × 47,072,638.88
  4. Step 4: Simplify right side
    30,186,019.13x = 2,215,833,330,656,161.25
  5. Step 5: Solve for x
    x = 2,215,833,330,656,161.25/30,186,019.13
  6. Step 6: Final answer
    x = 73,405,947.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.