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Finding the Third Proportional to 812,220,834 and 1,780,149,730

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Solution

The third proportional to 812,220,834 and 1,780,149,730 is: 3,901,565,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,220,834 : 1,780,149,730 = 1,780,149,730 : x
  2. Step 2: Convert to fraction form
    812,220,834/1,780,149,730 = 1,780,149,730/x
  3. Step 3: Cross multiply
    812,220,834x = 1,780,149,730 × 1,780,149,730
  4. Step 4: Simplify right side
    812,220,834x = 3,168,933,061,219,073,024
  5. Step 5: Solve for x
    x = 3,168,933,061,219,073,024/812,220,834
  6. Step 6: Final answer
    x = 3,901,565,840.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.