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Finding the Third Proportional to 548,456,406.75 and 1,186,369,588.13

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Solution

The third proportional to 548,456,406.75 and 1,186,369,588.13 is: 2,566,243,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,456,406.75 : 1,186,369,588.13 = 1,186,369,588.13 : x
  2. Step 2: Convert to fraction form
    548,456,406.75/1,186,369,588.13 = 1,186,369,588.13/x
  3. Step 3: Cross multiply
    548,456,406.75x = 1,186,369,588.13 × 1,186,369,588.13
  4. Step 4: Simplify right side
    548,456,406.75x = 1,407,472,799,627,882,240
  5. Step 5: Solve for x
    x = 1,407,472,799,627,882,240/548,456,406.75
  6. Step 6: Final answer
    x = 2,566,243,701.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.