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Finding the Third Proportional to 22,891,472 and 49,758,897

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Solution

The third proportional to 22,891,472 and 49,758,897 is: 108,160,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891,472 : 49,758,897 = 49,758,897 : x
  2. Step 2: Convert to fraction form
    22,891,472/49,758,897 = 49,758,897/x
  3. Step 3: Cross multiply
    22,891,472x = 49,758,897 × 49,758,897
  4. Step 4: Simplify right side
    22,891,472x = 2,475,947,830,656,609
  5. Step 5: Solve for x
    x = 2,475,947,830,656,609/22,891,472
  6. Step 6: Final answer
    x = 108,160,271.68

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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.