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Finding the Third Proportional to 3,393,969,294 and 7,306,642,769

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Solution

The third proportional to 3,393,969,294 and 7,306,642,769 is: 15,729,968,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393,969,294 : 7,306,642,769 = 7,306,642,769 : x
  2. Step 2: Convert to fraction form
    3,393,969,294/7,306,642,769 = 7,306,642,769/x
  3. Step 3: Cross multiply
    3,393,969,294x = 7,306,642,769 × 7,306,642,769
  4. Step 4: Simplify right side
    3,393,969,294x = 53,387,028,553,779,986,432
  5. Step 5: Solve for x
    x = 53,387,028,553,779,986,432/3,393,969,294
  6. Step 6: Final answer
    x = 15,729,968,048.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.