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Finding the Third Proportional to 74,876,862 and 115,040,205

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Solution

The third proportional to 74,876,862 and 115,040,205 is: 176,746,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,876,862 : 115,040,205 = 115,040,205 : x
  2. Step 2: Convert to fraction form
    74,876,862/115,040,205 = 115,040,205/x
  3. Step 3: Cross multiply
    74,876,862x = 115,040,205 × 115,040,205
  4. Step 4: Simplify right side
    74,876,862x = 13,234,248,766,442,024
  5. Step 5: Solve for x
    x = 13,234,248,766,442,024/74,876,862
  6. Step 6: Final answer
    x = 176,746,840.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.