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Finding the Third Proportional to 5,071,655.53 and 7,854,340.92

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Solution

The third proportional to 5,071,655.53 and 7,854,340.92 is: 12,163,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,655.53 : 7,854,340.92 = 7,854,340.92 : x
  2. Step 2: Convert to fraction form
    5,071,655.53/7,854,340.92 = 7,854,340.92/x
  3. Step 3: Cross multiply
    5,071,655.53x = 7,854,340.92 × 7,854,340.92
  4. Step 4: Simplify right side
    5,071,655.53x = 61,690,671,317,040.23
  5. Step 5: Solve for x
    x = 61,690,671,317,040.23/5,071,655.53
  6. Step 6: Final answer
    x = 12,163,813.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.