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Finding the Third Proportional to 10,859,829.47 and 15,957,320.20

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Solution

The third proportional to 10,859,829.47 and 15,957,320.20 is: 23,447,519.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859,829.47 : 15,957,320.20 = 15,957,320.20 : x
  2. Step 2: Convert to fraction form
    10,859,829.47/15,957,320.20 = 15,957,320.20/x
  3. Step 3: Cross multiply
    10,859,829.47x = 15,957,320.20 × 15,957,320.20
  4. Step 4: Simplify right side
    10,859,829.47x = 254,636,068,065,061.28
  5. Step 5: Solve for x
    x = 254,636,068,065,061.28/10,859,829.47
  6. Step 6: Final answer
    x = 23,447,519.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.