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Finding the Third Proportional to 61,709,073.75 and 128,525,770.13

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Solution

The third proportional to 61,709,073.75 and 128,525,770.13 is: 267,689,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709,073.75 : 128,525,770.13 = 128,525,770.13 : x
  2. Step 2: Convert to fraction form
    61,709,073.75/128,525,770.13 = 128,525,770.13/x
  3. Step 3: Cross multiply
    61,709,073.75x = 128,525,770.13 × 128,525,770.13
  4. Step 4: Simplify right side
    61,709,073.75x = 16,518,873,586,224,342
  5. Step 5: Solve for x
    x = 16,518,873,586,224,342/61,709,073.75
  6. Step 6: Final answer
    x = 267,689,540.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.