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Finding the Third Proportional to 544,156,356,086 and 1,178,860,144,608

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Solution

The third proportional to 544,156,356,086 and 1,178,860,144,608 is: 2,553,882,216,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,156,356,086 : 1,178,860,144,608 = 1,178,860,144,608 : x
  2. Step 2: Convert to fraction form
    544,156,356,086/1,178,860,144,608 = 1,178,860,144,608/x
  3. Step 3: Cross multiply
    544,156,356,086x = 1,178,860,144,608 × 1,178,860,144,608
  4. Step 4: Simplify right side
    544,156,356,086x = 1,389,711,240,545,194,643,292,160
  5. Step 5: Solve for x
    x = 1,389,711,240,545,194,643,292,160/544,156,356,086
  6. Step 6: Final answer
    x = 2,553,882,216,025.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.