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Finding the Third Proportional to 6,465,136.50 and 13,911,031.13

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Solution

The third proportional to 6,465,136.50 and 13,911,031.13 is: 29,932,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465,136.50 : 13,911,031.13 = 13,911,031.13 : x
  2. Step 2: Convert to fraction form
    6,465,136.50/13,911,031.13 = 13,911,031.13/x
  3. Step 3: Cross multiply
    6,465,136.50x = 13,911,031.13 × 13,911,031.13
  4. Step 4: Simplify right side
    6,465,136.50x = 193,516,786,960,718.75
  5. Step 5: Solve for x
    x = 193,516,786,960,718.75/6,465,136.50
  6. Step 6: Final answer
    x = 29,932,359.04

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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.