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Finding the Third Proportional to 34,873,676 and 47,872,036

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Solution

The third proportional to 34,873,676 and 47,872,036 is: 65,715,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,873,676 : 47,872,036 = 47,872,036 : x
  2. Step 2: Convert to fraction form
    34,873,676/47,872,036 = 47,872,036/x
  3. Step 3: Cross multiply
    34,873,676x = 47,872,036 × 47,872,036
  4. Step 4: Simplify right side
    34,873,676x = 2,291,731,830,785,296
  5. Step 5: Solve for x
    x = 2,291,731,830,785,296/34,873,676
  6. Step 6: Final answer
    x = 65,715,235.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.