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Finding the Third Proportional to 39,695,306 and 85,986,742

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Solution

The third proportional to 39,695,306 and 85,986,742 is: 186,261,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,695,306 : 85,986,742 = 85,986,742 : x
  2. Step 2: Convert to fraction form
    39,695,306/85,986,742 = 85,986,742/x
  3. Step 3: Cross multiply
    39,695,306x = 85,986,742 × 85,986,742
  4. Step 4: Simplify right side
    39,695,306x = 7,393,719,799,774,564
  5. Step 5: Solve for x
    x = 7,393,719,799,774,564/39,695,306
  6. Step 6: Final answer
    x = 186,261,816.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.