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Finding the Third Proportional to 75,578,864 and 113,348,612

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Solution

The third proportional to 75,578,864 and 113,348,612 is: 169,993,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,864 : 113,348,612 = 113,348,612 : x
  2. Step 2: Convert to fraction form
    75,578,864/113,348,612 = 113,348,612/x
  3. Step 3: Cross multiply
    75,578,864x = 113,348,612 × 113,348,612
  4. Step 4: Simplify right side
    75,578,864x = 12,847,907,842,326,544
  5. Step 5: Solve for x
    x = 12,847,907,842,326,544/75,578,864
  6. Step 6: Final answer
    x = 169,993,397.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.