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Finding the Third Proportional to 11,241,746 and 24,516,522

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Solution

The third proportional to 11,241,746 and 24,516,522 is: 53,466,770.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241,746 : 24,516,522 = 24,516,522 : x
  2. Step 2: Convert to fraction form
    11,241,746/24,516,522 = 24,516,522/x
  3. Step 3: Cross multiply
    11,241,746x = 24,516,522 × 24,516,522
  4. Step 4: Simplify right side
    11,241,746x = 601,059,850,976,484
  5. Step 5: Solve for x
    x = 601,059,850,976,484/11,241,746
  6. Step 6: Final answer
    x = 53,466,770.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.