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Finding the Third Proportional to 27,465,069 and 41,551,089

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Solution

The third proportional to 27,465,069 and 41,551,089 is: 62,861,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465,069 : 41,551,089 = 41,551,089 : x
  2. Step 2: Convert to fraction form
    27,465,069/41,551,089 = 41,551,089/x
  3. Step 3: Cross multiply
    27,465,069x = 41,551,089 × 41,551,089
  4. Step 4: Simplify right side
    27,465,069x = 1,726,492,997,085,921
  5. Step 5: Solve for x
    x = 1,726,492,997,085,921/27,465,069
  6. Step 6: Final answer
    x = 62,861,411.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.