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Finding the Third Proportional to 8,275,234,768 and 12,400,687,896

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Solution

The third proportional to 8,275,234,768 and 12,400,687,896 is: 18,582,803,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275,234,768 : 12,400,687,896 = 12,400,687,896 : x
  2. Step 2: Convert to fraction form
    8,275,234,768/12,400,687,896 = 12,400,687,896/x
  3. Step 3: Cross multiply
    8,275,234,768x = 12,400,687,896 × 12,400,687,896
  4. Step 4: Simplify right side
    8,275,234,768x = 153,777,060,294,000,902,144
  5. Step 5: Solve for x
    x = 153,777,060,294,000,902,144/8,275,234,768
  6. Step 6: Final answer
    x = 18,582,803,340.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.