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Finding the Third Proportional to 63,673,749 and 100,986,864.75

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Solution

The third proportional to 63,673,749 and 100,986,864.75 is: 160,165,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,673,749 : 100,986,864.75 = 100,986,864.75 : x
  2. Step 2: Convert to fraction form
    63,673,749/100,986,864.75 = 100,986,864.75/x
  3. Step 3: Cross multiply
    63,673,749x = 100,986,864.75 × 100,986,864.75
  4. Step 4: Simplify right side
    63,673,749x = 10,198,346,852,034,792
  5. Step 5: Solve for x
    x = 10,198,346,852,034,792/63,673,749
  6. Step 6: Final answer
    x = 160,165,641.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.