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Finding the Third Proportional to 49,408,065 and 107,321,550

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Solution

The third proportional to 49,408,065 and 107,321,550 is: 233,118,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,408,065 : 107,321,550 = 107,321,550 : x
  2. Step 2: Convert to fraction form
    49,408,065/107,321,550 = 107,321,550/x
  3. Step 3: Cross multiply
    49,408,065x = 107,321,550 × 107,321,550
  4. Step 4: Simplify right side
    49,408,065x = 11,517,915,094,402,500
  5. Step 5: Solve for x
    x = 11,517,915,094,402,500/49,408,065
  6. Step 6: Final answer
    x = 233,118,117.34

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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.