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Finding the Third Proportional to 9,480,972 and 20,475,294

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Solution

The third proportional to 9,480,972 and 20,475,294 is: 44,218,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480,972 : 20,475,294 = 20,475,294 : x
  2. Step 2: Convert to fraction form
    9,480,972/20,475,294 = 20,475,294/x
  3. Step 3: Cross multiply
    9,480,972x = 20,475,294 × 20,475,294
  4. Step 4: Simplify right side
    9,480,972x = 419,237,664,386,436
  5. Step 5: Solve for x
    x = 419,237,664,386,436/9,480,972
  6. Step 6: Final answer
    x = 44,218,848.49

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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.