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Finding the Third Proportional to 1,418,190,050 and 2,178,513,571

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Solution

The third proportional to 1,418,190,050 and 2,178,513,571 is: 3,346,463,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,190,050 : 2,178,513,571 = 2,178,513,571 : x
  2. Step 2: Convert to fraction form
    1,418,190,050/2,178,513,571 = 2,178,513,571/x
  3. Step 3: Cross multiply
    1,418,190,050x = 2,178,513,571 × 2,178,513,571
  4. Step 4: Simplify right side
    1,418,190,050x = 4,745,921,379,031,172,096
  5. Step 5: Solve for x
    x = 4,745,921,379,031,172,096/1,418,190,050
  6. Step 6: Final answer
    x = 3,346,463,599.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.