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Finding the Third Proportional to 614,082,951 and 878,145,867

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Solution

The third proportional to 614,082,951 and 878,145,867 is: 1,255,758,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,082,951 : 878,145,867 = 878,145,867 : x
  2. Step 2: Convert to fraction form
    614,082,951/878,145,867 = 878,145,867/x
  3. Step 3: Cross multiply
    614,082,951x = 878,145,867 × 878,145,867
  4. Step 4: Simplify right side
    614,082,951x = 771,140,163,729,181,696
  5. Step 5: Solve for x
    x = 771,140,163,729,181,696/614,082,951
  6. Step 6: Final answer
    x = 1,255,758,953.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.