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Finding the Third Proportional to 75,588,870 and 117,267,597

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Solution

The third proportional to 75,588,870 and 117,267,597 is: 181,927,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,588,870 : 117,267,597 = 117,267,597 : x
  2. Step 2: Convert to fraction form
    75,588,870/117,267,597 = 117,267,597/x
  3. Step 3: Cross multiply
    75,588,870x = 117,267,597 × 117,267,597
  4. Step 4: Simplify right side
    75,588,870x = 13,751,689,306,154,408
  5. Step 5: Solve for x
    x = 13,751,689,306,154,408/75,588,870
  6. Step 6: Final answer
    x = 181,927,435.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.