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Finding the Third Proportional to 142,635,793,702 and 310,900,517,831

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Solution

The third proportional to 142,635,793,702 and 310,900,517,831 is: 677,663,926,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,635,793,702 : 310,900,517,831 = 310,900,517,831 : x
  2. Step 2: Convert to fraction form
    142,635,793,702/310,900,517,831 = 310,900,517,831/x
  3. Step 3: Cross multiply
    142,635,793,702x = 310,900,517,831 × 310,900,517,831
  4. Step 4: Simplify right side
    142,635,793,702x = 96,659,131,987,583,941,214,208
  5. Step 5: Solve for x
    x = 96,659,131,987,583,941,214,208/142,635,793,702
  6. Step 6: Final answer
    x = 677,663,926,275.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.