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Finding the Third Proportional to 45,324,659 and 97,110,661

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Solution

The third proportional to 45,324,659 and 97,110,661 is: 208,065,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,324,659 : 97,110,661 = 97,110,661 : x
  2. Step 2: Convert to fraction form
    45,324,659/97,110,661 = 97,110,661/x
  3. Step 3: Cross multiply
    45,324,659x = 97,110,661 × 97,110,661
  4. Step 4: Simplify right side
    45,324,659x = 9,430,480,479,856,920
  5. Step 5: Solve for x
    x = 9,430,480,479,856,920/45,324,659
  6. Step 6: Final answer
    x = 208,065,117.04

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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.