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Finding the Third Proportional to 23,013,742 and 48,865,481

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Solution

The third proportional to 23,013,742 and 48,865,481 is: 103,756,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013,742 : 48,865,481 = 48,865,481 : x
  2. Step 2: Convert to fraction form
    23,013,742/48,865,481 = 48,865,481/x
  3. Step 3: Cross multiply
    23,013,742x = 48,865,481 × 48,865,481
  4. Step 4: Simplify right side
    23,013,742x = 2,387,835,233,361,361
  5. Step 5: Solve for x
    x = 2,387,835,233,361,361/23,013,742
  6. Step 6: Final answer
    x = 103,756,930.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.