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Finding the Third Proportional to 42,169,825.13 and 65,165,947.88

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Solution

The third proportional to 42,169,825.13 and 65,165,947.88 is: 100,702,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,169,825.13 : 65,165,947.88 = 65,165,947.88 : x
  2. Step 2: Convert to fraction form
    42,169,825.13/65,165,947.88 = 65,165,947.88/x
  3. Step 3: Cross multiply
    42,169,825.13x = 65,165,947.88 × 65,165,947.88
  4. Step 4: Simplify right side
    42,169,825.13x = 4,246,600,762,447,217
  5. Step 5: Solve for x
    x = 4,246,600,762,447,217/42,169,825.13
  6. Step 6: Final answer
    x = 100,702,356.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.