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Finding the Third Proportional to 10,418,280 and 22,331,760

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Solution

The third proportional to 10,418,280 and 22,331,760 is: 47,868,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418,280 : 22,331,760 = 22,331,760 : x
  2. Step 2: Convert to fraction form
    10,418,280/22,331,760 = 22,331,760/x
  3. Step 3: Cross multiply
    10,418,280x = 22,331,760 × 22,331,760
  4. Step 4: Simplify right side
    10,418,280x = 498,707,504,697,600
  5. Step 5: Solve for x
    x = 498,707,504,697,600/10,418,280
  6. Step 6: Final answer
    x = 47,868,506.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.