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Finding the Third Proportional to 9,484,347 and 20,461,686

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Solution

The third proportional to 9,484,347 and 20,461,686 is: 44,144,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484,347 : 20,461,686 = 20,461,686 : x
  2. Step 2: Convert to fraction form
    9,484,347/20,461,686 = 20,461,686/x
  3. Step 3: Cross multiply
    9,484,347x = 20,461,686 × 20,461,686
  4. Step 4: Simplify right side
    9,484,347x = 418,680,593,962,596
  5. Step 5: Solve for x
    x = 418,680,593,962,596/9,484,347
  6. Step 6: Final answer
    x = 44,144,377.46

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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.