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Finding the Third Proportional to 3,865,651.59 and 5,680,146.83

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Solution

The third proportional to 3,865,651.59 and 5,680,146.83 is: 8,346,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,651.59 : 5,680,146.83 = 5,680,146.83 : x
  2. Step 2: Convert to fraction form
    3,865,651.59/5,680,146.83 = 5,680,146.83/x
  3. Step 3: Cross multiply
    3,865,651.59x = 5,680,146.83 × 5,680,146.83
  4. Step 4: Simplify right side
    3,865,651.59x = 32,264,068,033,434.07
  5. Step 5: Solve for x
    x = 32,264,068,033,434.07/3,865,651.59
  6. Step 6: Final answer
    x = 8,346,346.60

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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.