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Finding the Third Proportional to 10,461,195 and 22,573,812

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Solution

The third proportional to 10,461,195 and 22,573,812 is: 48,711,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,195 : 22,573,812 = 22,573,812 : x
  2. Step 2: Convert to fraction form
    10,461,195/22,573,812 = 22,573,812/x
  3. Step 3: Cross multiply
    10,461,195x = 22,573,812 × 22,573,812
  4. Step 4: Simplify right side
    10,461,195x = 509,576,988,211,344
  5. Step 5: Solve for x
    x = 509,576,988,211,344/10,461,195
  6. Step 6: Final answer
    x = 48,711,164.28

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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.