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Finding the Third Proportional to 4,486,112 and 9,869,376

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Solution

The third proportional to 4,486,112 and 9,869,376 is: 21,712,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,112 : 9,869,376 = 9,869,376 : x
  2. Step 2: Convert to fraction form
    4,486,112/9,869,376 = 9,869,376/x
  3. Step 3: Cross multiply
    4,486,112x = 9,869,376 × 9,869,376
  4. Step 4: Simplify right side
    4,486,112x = 97,404,582,629,376
  5. Step 5: Solve for x
    x = 97,404,582,629,376/4,486,112
  6. Step 6: Final answer
    x = 21,712,472.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.