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Finding the Third Proportional to 30,452,534 and 65,759,002

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Solution

The third proportional to 30,452,534 and 65,759,002 is: 141,999,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452,534 : 65,759,002 = 65,759,002 : x
  2. Step 2: Convert to fraction form
    30,452,534/65,759,002 = 65,759,002/x
  3. Step 3: Cross multiply
    30,452,534x = 65,759,002 × 65,759,002
  4. Step 4: Simplify right side
    30,452,534x = 4,324,246,344,036,004
  5. Step 5: Solve for x
    x = 4,324,246,344,036,004/30,452,534
  6. Step 6: Final answer
    x = 141,999,557.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.