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Finding the Third Proportional to 864,350,524.13 and 1,859,795,695.69

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Solution

The third proportional to 864,350,524.13 and 1,859,795,695.69 is: 4,001,663,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,350,524.13 : 1,859,795,695.69 = 1,859,795,695.69 : x
  2. Step 2: Convert to fraction form
    864,350,524.13/1,859,795,695.69 = 1,859,795,695.69/x
  3. Step 3: Cross multiply
    864,350,524.13x = 1,859,795,695.69 × 1,859,795,695.69
  4. Step 4: Simplify right side
    864,350,524.13x = 3,458,840,029,697,752,064
  5. Step 5: Solve for x
    x = 3,458,840,029,697,752,064/864,350,524.13
  6. Step 6: Final answer
    x = 4,001,663,599.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.