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Finding the Third Proportional to 40,927,836,280 and 89,062,557,464

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Solution

The third proportional to 40,927,836,280 and 89,062,557,464 is: 193,807,927,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,927,836,280 : 89,062,557,464 = 89,062,557,464 : x
  2. Step 2: Convert to fraction form
    40,927,836,280/89,062,557,464 = 89,062,557,464/x
  3. Step 3: Cross multiply
    40,927,836,280x = 89,062,557,464 × 89,062,557,464
  4. Step 4: Simplify right side
    40,927,836,280x = 7,932,139,142,028,301,697,024
  5. Step 5: Solve for x
    x = 7,932,139,142,028,301,697,024/40,927,836,280
  6. Step 6: Final answer
    x = 193,807,927,879.75

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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.