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Finding the Third Proportional to 6,283,851.50 and 13,687,411

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Solution

The third proportional to 6,283,851.50 and 13,687,411 is: 29,813,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,851.50 : 13,687,411 = 13,687,411 : x
  2. Step 2: Convert to fraction form
    6,283,851.50/13,687,411 = 13,687,411/x
  3. Step 3: Cross multiply
    6,283,851.50x = 13,687,411 × 13,687,411
  4. Step 4: Simplify right side
    6,283,851.50x = 187,345,219,882,921
  5. Step 5: Solve for x
    x = 187,345,219,882,921/6,283,851.50
  6. Step 6: Final answer
    x = 29,813,756.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.