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Finding the Third Proportional to 4,636,171.69 and 6,815,350.13

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Solution

The third proportional to 4,636,171.69 and 6,815,350.13 is: 10,018,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636,171.69 : 6,815,350.13 = 6,815,350.13 : x
  2. Step 2: Convert to fraction form
    4,636,171.69/6,815,350.13 = 6,815,350.13/x
  3. Step 3: Cross multiply
    4,636,171.69x = 6,815,350.13 × 6,815,350.13
  4. Step 4: Simplify right side
    4,636,171.69x = 46,448,997,326,337.52
  5. Step 5: Solve for x
    x = 46,448,997,326,337.52/4,636,171.69
  6. Step 6: Final answer
    x = 10,018,825.97

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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.