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Finding the Third Proportional to 717,915,856 and 1,561,617,152

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Solution

The third proportional to 717,915,856 and 1,561,617,152 is: 3,396,843,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,915,856 : 1,561,617,152 = 1,561,617,152 : x
  2. Step 2: Convert to fraction form
    717,915,856/1,561,617,152 = 1,561,617,152/x
  3. Step 3: Cross multiply
    717,915,856x = 1,561,617,152 × 1,561,617,152
  4. Step 4: Simplify right side
    717,915,856x = 2,438,648,129,420,591,104
  5. Step 5: Solve for x
    x = 2,438,648,129,420,591,104/717,915,856
  6. Step 6: Final answer
    x = 3,396,843,946.32

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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.