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Finding the Third Proportional to 3,785,427,106 and 8,283,250,878

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Solution

The third proportional to 3,785,427,106 and 8,283,250,878 is: 18,125,364,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,427,106 : 8,283,250,878 = 8,283,250,878 : x
  2. Step 2: Convert to fraction form
    3,785,427,106/8,283,250,878 = 8,283,250,878/x
  3. Step 3: Cross multiply
    3,785,427,106x = 8,283,250,878 × 8,283,250,878
  4. Step 4: Simplify right side
    3,785,427,106x = 68,612,245,107,887,767,552
  5. Step 5: Solve for x
    x = 68,612,245,107,887,767,552/3,785,427,106
  6. Step 6: Final answer
    x = 18,125,364,242.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.