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Finding the Third Proportional to 619,952,560 and 1,338,526,100

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Solution

The third proportional to 619,952,560 and 1,338,526,100 is: 2,889,982,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,952,560 : 1,338,526,100 = 1,338,526,100 : x
  2. Step 2: Convert to fraction form
    619,952,560/1,338,526,100 = 1,338,526,100/x
  3. Step 3: Cross multiply
    619,952,560x = 1,338,526,100 × 1,338,526,100
  4. Step 4: Simplify right side
    619,952,560x = 1,791,652,120,381,210,112
  5. Step 5: Solve for x
    x = 1,791,652,120,381,210,112/619,952,560
  6. Step 6: Final answer
    x = 2,889,982,614.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.