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Finding the Third Proportional to 48,324,686,872 and 98,027,292,320

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Solution

The third proportional to 48,324,686,872 and 98,027,292,320 is: 198,849,711,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,324,686,872 : 98,027,292,320 = 98,027,292,320 : x
  2. Step 2: Convert to fraction form
    48,324,686,872/98,027,292,320 = 98,027,292,320/x
  3. Step 3: Cross multiply
    48,324,686,872x = 98,027,292,320 × 98,027,292,320
  4. Step 4: Simplify right side
    48,324,686,872x = 9,609,350,039,590,731,251,712
  5. Step 5: Solve for x
    x = 9,609,350,039,590,731,251,712/48,324,686,872
  6. Step 6: Final answer
    x = 198,849,711,433.07

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.