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Finding the Third Proportional to 8,684,242.88 and 18,563,617.13

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Solution

The third proportional to 8,684,242.88 and 18,563,617.13 is: 39,681,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684,242.88 : 18,563,617.13 = 18,563,617.13 : x
  2. Step 2: Convert to fraction form
    8,684,242.88/18,563,617.13 = 18,563,617.13/x
  3. Step 3: Cross multiply
    8,684,242.88x = 18,563,617.13 × 18,563,617.13
  4. Step 4: Simplify right side
    8,684,242.88x = 344,607,880,763,593.25
  5. Step 5: Solve for x
    x = 344,607,880,763,593.25/8,684,242.88
  6. Step 6: Final answer
    x = 39,681,971.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.