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Finding the Third Proportional to 23,876,730 and 51,160,320

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Solution

The third proportional to 23,876,730 and 51,160,320 is: 109,620,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876,730 : 51,160,320 = 51,160,320 : x
  2. Step 2: Convert to fraction form
    23,876,730/51,160,320 = 51,160,320/x
  3. Step 3: Cross multiply
    23,876,730x = 51,160,320 × 51,160,320
  4. Step 4: Simplify right side
    23,876,730x = 2,617,378,342,502,400
  5. Step 5: Solve for x
    x = 2,617,378,342,502,400/23,876,730
  6. Step 6: Final answer
    x = 109,620,469.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.