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Finding the Third Proportional to 42,088,232,646 and 91,585,690,812

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Solution

The third proportional to 42,088,232,646 and 91,585,690,812 is: 199,294,155,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,088,232,646 : 91,585,690,812 = 91,585,690,812 : x
  2. Step 2: Convert to fraction form
    42,088,232,646/91,585,690,812 = 91,585,690,812/x
  3. Step 3: Cross multiply
    42,088,232,646x = 91,585,690,812 × 91,585,690,812
  4. Step 4: Simplify right side
    42,088,232,646x = 8,387,938,761,511,260,913,664
  5. Step 5: Solve for x
    x = 8,387,938,761,511,260,913,664/42,088,232,646
  6. Step 6: Final answer
    x = 199,294,155,020.99

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