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Finding the Third Proportional to 10,953,494 and 24,425,540

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Solution

The third proportional to 10,953,494 and 24,425,540 is: 54,467,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953,494 : 24,425,540 = 24,425,540 : x
  2. Step 2: Convert to fraction form
    10,953,494/24,425,540 = 24,425,540/x
  3. Step 3: Cross multiply
    10,953,494x = 24,425,540 × 24,425,540
  4. Step 4: Simplify right side
    10,953,494x = 596,607,004,291,600
  5. Step 5: Solve for x
    x = 596,607,004,291,600/10,953,494
  6. Step 6: Final answer
    x = 54,467,278.14

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.