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Finding the Third Proportional to 25,976,092.50 and 56,473,463

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Solution

The third proportional to 25,976,092.50 and 56,473,463 is: 122,776,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976,092.50 : 56,473,463 = 56,473,463 : x
  2. Step 2: Convert to fraction form
    25,976,092.50/56,473,463 = 56,473,463/x
  3. Step 3: Cross multiply
    25,976,092.50x = 56,473,463 × 56,473,463
  4. Step 4: Simplify right side
    25,976,092.50x = 3,189,252,023,212,369
  5. Step 5: Solve for x
    x = 3,189,252,023,212,369/25,976,092.50
  6. Step 6: Final answer
    x = 122,776,434.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.