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Finding the Third Proportional to 54,545,368,942.13 and 127,442,593,683

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Solution

The third proportional to 54,545,368,942.13 and 127,442,593,683 is: 297,763,403,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,368,942.13 : 127,442,593,683 = 127,442,593,683 : x
  2. Step 2: Convert to fraction form
    54,545,368,942.13/127,442,593,683 = 127,442,593,683/x
  3. Step 3: Cross multiply
    54,545,368,942.13x = 127,442,593,683 × 127,442,593,683
  4. Step 4: Simplify right side
    54,545,368,942.13x = 16,241,614,684,650,232,348,672
  5. Step 5: Solve for x
    x = 16,241,614,684,650,232,348,672/54,545,368,942.13
  6. Step 6: Final answer
    x = 297,763,403,193.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.