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Finding the Third Proportional to 2,977,219.13 and 6,458,545.13

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Solution

The third proportional to 2,977,219.13 and 6,458,545.13 is: 14,010,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977,219.13 : 6,458,545.13 = 6,458,545.13 : x
  2. Step 2: Convert to fraction form
    2,977,219.13/6,458,545.13 = 6,458,545.13/x
  3. Step 3: Cross multiply
    2,977,219.13x = 6,458,545.13 × 6,458,545.13
  4. Step 4: Simplify right side
    2,977,219.13x = 41,712,805,131,661.27
  5. Step 5: Solve for x
    x = 41,712,805,131,661.27/2,977,219.13
  6. Step 6: Final answer
    x = 14,010,660.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.