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Finding the Third Proportional to 9,371,076 and 14,481,327

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Solution

The third proportional to 9,371,076 and 14,481,327 is: 22,378,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371,076 : 14,481,327 = 14,481,327 : x
  2. Step 2: Convert to fraction form
    9,371,076/14,481,327 = 14,481,327/x
  3. Step 3: Cross multiply
    9,371,076x = 14,481,327 × 14,481,327
  4. Step 4: Simplify right side
    9,371,076x = 209,708,831,680,929
  5. Step 5: Solve for x
    x = 209,708,831,680,929/9,371,076
  6. Step 6: Final answer
    x = 22,378,308.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.