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Finding the Third Proportional to 9,484,344 and 20,461,680

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Solution

The third proportional to 9,484,344 and 20,461,680 is: 44,144,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484,344 : 20,461,680 = 20,461,680 : x
  2. Step 2: Convert to fraction form
    9,484,344/20,461,680 = 20,461,680/x
  3. Step 3: Cross multiply
    9,484,344x = 20,461,680 × 20,461,680
  4. Step 4: Simplify right side
    9,484,344x = 418,680,348,422,400
  5. Step 5: Solve for x
    x = 418,680,348,422,400/9,484,344
  6. Step 6: Final answer
    x = 44,144,365.54

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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.