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Finding the Third Proportional to 1,817,228,045 and 3,952,853,194

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Solution

The third proportional to 1,817,228,045 and 3,952,853,194 is: 8,598,287,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,228,045 : 3,952,853,194 = 3,952,853,194 : x
  2. Step 2: Convert to fraction form
    1,817,228,045/3,952,853,194 = 3,952,853,194/x
  3. Step 3: Cross multiply
    1,817,228,045x = 3,952,853,194 × 3,952,853,194
  4. Step 4: Simplify right side
    1,817,228,045x = 15,625,048,373,316,001,792
  5. Step 5: Solve for x
    x = 15,625,048,373,316,001,792/1,817,228,045
  6. Step 6: Final answer
    x = 8,598,287,053.90

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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.