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Finding the Third Proportional to 10,598,590 and 22,957,904

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Solution

The third proportional to 10,598,590 and 22,957,904 is: 49,729,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598,590 : 22,957,904 = 22,957,904 : x
  2. Step 2: Convert to fraction form
    10,598,590/22,957,904 = 22,957,904/x
  3. Step 3: Cross multiply
    10,598,590x = 22,957,904 × 22,957,904
  4. Step 4: Simplify right side
    10,598,590x = 527,065,356,073,216
  5. Step 5: Solve for x
    x = 527,065,356,073,216/10,598,590
  6. Step 6: Final answer
    x = 49,729,761.80

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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.