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Finding the Third Proportional to 745,071,474 and 1,567,370,296

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Solution

The third proportional to 745,071,474 and 1,567,370,296 is: 3,297,199,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,071,474 : 1,567,370,296 = 1,567,370,296 : x
  2. Step 2: Convert to fraction form
    745,071,474/1,567,370,296 = 1,567,370,296/x
  3. Step 3: Cross multiply
    745,071,474x = 1,567,370,296 × 1,567,370,296
  4. Step 4: Simplify right side
    745,071,474x = 2,456,649,644,783,127,552
  5. Step 5: Solve for x
    x = 2,456,649,644,783,127,552/745,071,474
  6. Step 6: Final answer
    x = 3,297,199,974.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.