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Finding the Third Proportional to 3,766,834.13 and 8,130,309.19

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Solution

The third proportional to 3,766,834.13 and 8,130,309.19 is: 17,548,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766,834.13 : 8,130,309.19 = 8,130,309.19 : x
  2. Step 2: Convert to fraction form
    3,766,834.13/8,130,309.19 = 8,130,309.19/x
  3. Step 3: Cross multiply
    3,766,834.13x = 8,130,309.19 × 8,130,309.19
  4. Step 4: Simplify right side
    3,766,834.13x = 66,101,927,484,346.91
  5. Step 5: Solve for x
    x = 66,101,927,484,346.91/3,766,834.13
  6. Step 6: Final answer
    x = 17,548,404.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.