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Finding the Third Proportional to 54,545,368,900 and 127,442,593,613

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Solution

The third proportional to 54,545,368,900 and 127,442,593,613 is: 297,763,403,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,545,368,900 : 127,442,593,613 = 127,442,593,613 : x
  2. Step 2: Convert to fraction form
    54,545,368,900/127,442,593,613 = 127,442,593,613/x
  3. Step 3: Cross multiply
    54,545,368,900x = 127,442,593,613 × 127,442,593,613
  4. Step 4: Simplify right side
    54,545,368,900x = 16,241,614,666,808,269,209,600
  5. Step 5: Solve for x
    x = 16,241,614,666,808,269,209,600/54,545,368,900
  6. Step 6: Final answer
    x = 297,763,403,096.32

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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.