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Finding the Third Proportional to 1,147,853,941 and 1,721,481,975

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Solution

The third proportional to 1,147,853,941 and 1,721,481,975 is: 2,581,774,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,853,941 : 1,721,481,975 = 1,721,481,975 : x
  2. Step 2: Convert to fraction form
    1,147,853,941/1,721,481,975 = 1,721,481,975/x
  3. Step 3: Cross multiply
    1,147,853,941x = 1,721,481,975 × 1,721,481,975
  4. Step 4: Simplify right side
    1,147,853,941x = 2,963,500,190,249,900,544
  5. Step 5: Solve for x
    x = 2,963,500,190,249,900,544/1,147,853,941
  6. Step 6: Final answer
    x = 2,581,774,635.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.