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Finding the Third Proportional to 63,683,945 and 136,454,878

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Solution

The third proportional to 63,683,945 and 136,454,878 is: 292,380,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,683,945 : 136,454,878 = 136,454,878 : x
  2. Step 2: Convert to fraction form
    63,683,945/136,454,878 = 136,454,878/x
  3. Step 3: Cross multiply
    63,683,945x = 136,454,878 × 136,454,878
  4. Step 4: Simplify right side
    63,683,945x = 18,619,933,729,994,884
  5. Step 5: Solve for x
    x = 18,619,933,729,994,884/63,683,945
  6. Step 6: Final answer
    x = 292,380,343.74

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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.