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Finding the Third Proportional to 6,513,230.25 and 8,683,129.13

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Solution

The third proportional to 6,513,230.25 and 8,683,129.13 is: 11,575,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,230.25 : 8,683,129.13 = 8,683,129.13 : x
  2. Step 2: Convert to fraction form
    6,513,230.25/8,683,129.13 = 8,683,129.13/x
  3. Step 3: Cross multiply
    6,513,230.25x = 8,683,129.13 × 8,683,129.13
  4. Step 4: Simplify right side
    6,513,230.25x = 75,396,731,401,423.27
  5. Step 5: Solve for x
    x = 75,396,731,401,423.27/6,513,230.25
  6. Step 6: Final answer
    x = 11,575,935.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.