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Finding the Third Proportional to 54,138,411,888 and 82,763,683,560

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Solution

The third proportional to 54,138,411,888 and 82,763,683,560 is: 126,524,348,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138,411,888 : 82,763,683,560 = 82,763,683,560 : x
  2. Step 2: Convert to fraction form
    54,138,411,888/82,763,683,560 = 82,763,683,560/x
  3. Step 3: Cross multiply
    54,138,411,888x = 82,763,683,560 × 82,763,683,560
  4. Step 4: Simplify right side
    54,138,411,888x = 6,849,827,316,419,813,965,824
  5. Step 5: Solve for x
    x = 6,849,827,316,419,813,965,824/54,138,411,888
  6. Step 6: Final answer
    x = 126,524,348,933.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.