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Finding the Third Proportional to 408,046,350 and 885,371,010

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Solution

The third proportional to 408,046,350 and 885,371,010 is: 1,921,060,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,350 : 885,371,010 = 885,371,010 : x
  2. Step 2: Convert to fraction form
    408,046,350/885,371,010 = 885,371,010/x
  3. Step 3: Cross multiply
    408,046,350x = 885,371,010 × 885,371,010
  4. Step 4: Simplify right side
    408,046,350x = 783,881,825,348,420,096
  5. Step 5: Solve for x
    x = 783,881,825,348,420,096/408,046,350
  6. Step 6: Final answer
    x = 1,921,060,745.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.