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Finding the Third Proportional to 4,543,854 and 9,726,129

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Solution

The third proportional to 4,543,854 and 9,726,129 is: 20,818,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543,854 : 9,726,129 = 9,726,129 : x
  2. Step 2: Convert to fraction form
    4,543,854/9,726,129 = 9,726,129/x
  3. Step 3: Cross multiply
    4,543,854x = 9,726,129 × 9,726,129
  4. Step 4: Simplify right side
    4,543,854x = 94,597,585,324,641
  5. Step 5: Solve for x
    x = 94,597,585,324,641/4,543,854
  6. Step 6: Final answer
    x = 20,818,799.49

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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.