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Finding the Third Proportional to 3,747,247.95 and 8,172,172.58

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Solution

The third proportional to 3,747,247.95 and 8,172,172.58 is: 17,822,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,247.95 : 8,172,172.58 = 8,172,172.58 : x
  2. Step 2: Convert to fraction form
    3,747,247.95/8,172,172.58 = 8,172,172.58/x
  3. Step 3: Cross multiply
    3,747,247.95x = 8,172,172.58 × 8,172,172.58
  4. Step 4: Simplify right side
    3,747,247.95x = 66,784,404,710,499.23
  5. Step 5: Solve for x
    x = 66,784,404,710,499.23/3,747,247.95
  6. Step 6: Final answer
    x = 17,822,254.01

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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.