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Finding the Third Proportional to 10,583,371 and 22,438,452

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Solution

The third proportional to 10,583,371 and 22,438,452 is: 47,573,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583,371 : 22,438,452 = 22,438,452 : x
  2. Step 2: Convert to fraction form
    10,583,371/22,438,452 = 22,438,452/x
  3. Step 3: Cross multiply
    10,583,371x = 22,438,452 × 22,438,452
  4. Step 4: Simplify right side
    10,583,371x = 503,484,128,156,304
  5. Step 5: Solve for x
    x = 503,484,128,156,304/10,583,371
  6. Step 6: Final answer
    x = 47,573,134.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.