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Finding the Third Proportional to 40,277,774 and 86,973,436

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Solution

The third proportional to 40,277,774 and 86,973,436 is: 187,805,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,277,774 : 86,973,436 = 86,973,436 : x
  2. Step 2: Convert to fraction form
    40,277,774/86,973,436 = 86,973,436/x
  3. Step 3: Cross multiply
    40,277,774x = 86,973,436 × 86,973,436
  4. Step 4: Simplify right side
    40,277,774x = 7,564,378,569,646,096
  5. Step 5: Solve for x
    x = 7,564,378,569,646,096/40,277,774
  6. Step 6: Final answer
    x = 187,805,278.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.