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Finding the Third Proportional to 1,817,228,400 and 3,952,853,940

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Solution

The third proportional to 1,817,228,400 and 3,952,853,940 is: 8,598,288,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,228,400 : 3,952,853,940 = 3,952,853,940 : x
  2. Step 2: Convert to fraction form
    1,817,228,400/3,952,853,940 = 3,952,853,940/x
  3. Step 3: Cross multiply
    1,817,228,400x = 3,952,853,940 × 3,952,853,940
  4. Step 4: Simplify right side
    1,817,228,400x = 15,625,054,270,973,523,968
  5. Step 5: Solve for x
    x = 15,625,054,270,973,523,968/1,817,228,400
  6. Step 6: Final answer
    x = 8,598,288,619.62

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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.