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Finding the Third Proportional to 5,127,948 and 10,942,371

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Solution

The third proportional to 5,127,948 and 10,942,371 is: 23,349,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127,948 : 10,942,371 = 10,942,371 : x
  2. Step 2: Convert to fraction form
    5,127,948/10,942,371 = 10,942,371/x
  3. Step 3: Cross multiply
    5,127,948x = 10,942,371 × 10,942,371
  4. Step 4: Simplify right side
    5,127,948x = 119,735,483,101,641
  5. Step 5: Solve for x
    x = 119,735,483,101,641/5,127,948
  6. Step 6: Final answer
    x = 23,349,589.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.