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Finding the Third Proportional to 48,476,589 and 103,671,642

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Solution

The third proportional to 48,476,589 and 103,671,642 is: 221,711,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476,589 : 103,671,642 = 103,671,642 : x
  2. Step 2: Convert to fraction form
    48,476,589/103,671,642 = 103,671,642/x
  3. Step 3: Cross multiply
    48,476,589x = 103,671,642 × 103,671,642
  4. Step 4: Simplify right side
    48,476,589x = 10,747,809,354,976,164
  5. Step 5: Solve for x
    x = 10,747,809,354,976,164/48,476,589
  6. Step 6: Final answer
    x = 221,711,336.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.