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Finding the Third Proportional to 125,002,016 and 274,207,804

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Solution

The third proportional to 125,002,016 and 274,207,804 is: 601,509,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,002,016 : 274,207,804 = 274,207,804 : x
  2. Step 2: Convert to fraction form
    125,002,016/274,207,804 = 274,207,804/x
  3. Step 3: Cross multiply
    125,002,016x = 274,207,804 × 274,207,804
  4. Step 4: Simplify right side
    125,002,016x = 75,189,919,774,502,416
  5. Step 5: Solve for x
    x = 75,189,919,774,502,416/125,002,016
  6. Step 6: Final answer
    x = 601,509,657.05

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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.