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Finding the Third Proportional to 596,316,813 and 1,275,538,404

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Solution

The third proportional to 596,316,813 and 1,275,538,404 is: 2,728,412,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,316,813 : 1,275,538,404 = 1,275,538,404 : x
  2. Step 2: Convert to fraction form
    596,316,813/1,275,538,404 = 1,275,538,404/x
  3. Step 3: Cross multiply
    596,316,813x = 1,275,538,404 × 1,275,538,404
  4. Step 4: Simplify right side
    596,316,813x = 1,626,998,220,078,867,200
  5. Step 5: Solve for x
    x = 1,626,998,220,078,867,200/596,316,813
  6. Step 6: Final answer
    x = 2,728,412,455.61

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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.