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Finding the Third Proportional to 6,826,029.47 and 14,665,092.61

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Solution

The third proportional to 6,826,029.47 and 14,665,092.61 is: 31,506,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,029.47 : 14,665,092.61 = 14,665,092.61 : x
  2. Step 2: Convert to fraction form
    6,826,029.47/14,665,092.61 = 14,665,092.61/x
  3. Step 3: Cross multiply
    6,826,029.47x = 14,665,092.61 × 14,665,092.61
  4. Step 4: Simplify right side
    6,826,029.47x = 215,064,941,241,545.25
  5. Step 5: Solve for x
    x = 215,064,941,241,545.25/6,826,029.47
  6. Step 6: Final answer
    x = 31,506,594.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.