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Finding the Third Proportional to 61,031,745 and 91,547,739

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Solution

The third proportional to 61,031,745 and 91,547,739 is: 137,321,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,031,745 : 91,547,739 = 91,547,739 : x
  2. Step 2: Convert to fraction form
    61,031,745/91,547,739 = 91,547,739/x
  3. Step 3: Cross multiply
    61,031,745x = 91,547,739 × 91,547,739
  4. Step 4: Simplify right side
    61,031,745x = 8,380,988,516,012,121
  5. Step 5: Solve for x
    x = 8,380,988,516,012,121/61,031,745
  6. Step 6: Final answer
    x = 137,321,790.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.