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Finding the Third Proportional to 5,596,171 and 8,641,569

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Solution

The third proportional to 5,596,171 and 8,641,569 is: 13,344,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596,171 : 8,641,569 = 8,641,569 : x
  2. Step 2: Convert to fraction form
    5,596,171/8,641,569 = 8,641,569/x
  3. Step 3: Cross multiply
    5,596,171x = 8,641,569 × 8,641,569
  4. Step 4: Simplify right side
    5,596,171x = 74,676,714,781,761
  5. Step 5: Solve for x
    x = 74,676,714,781,761/5,596,171
  6. Step 6: Final answer
    x = 13,344,251.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.