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Finding the Third Proportional to 360,691,621.88 and 787,791,214.13

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Solution

The third proportional to 360,691,621.88 and 787,791,214.13 is: 1,720,624,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,691,621.88 : 787,791,214.13 = 787,791,214.13 : x
  2. Step 2: Convert to fraction form
    360,691,621.88/787,791,214.13 = 787,791,214.13/x
  3. Step 3: Cross multiply
    360,691,621.88x = 787,791,214.13 × 787,791,214.13
  4. Step 4: Simplify right side
    360,691,621.88x = 620,614,997,052,541,568
  5. Step 5: Solve for x
    x = 620,614,997,052,541,568/360,691,621.88
  6. Step 6: Final answer
    x = 1,720,624,931.14

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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.