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Finding the Third Proportional to 614,082,953 and 878,145,870

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Solution

The third proportional to 614,082,953 and 878,145,870 is: 1,255,758,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,082,953 : 878,145,870 = 878,145,870 : x
  2. Step 2: Convert to fraction form
    614,082,953/878,145,870 = 878,145,870/x
  3. Step 3: Cross multiply
    614,082,953x = 878,145,870 × 878,145,870
  4. Step 4: Simplify right side
    614,082,953x = 771,140,168,998,056,960
  5. Step 5: Solve for x
    x = 771,140,168,998,056,960/614,082,953
  6. Step 6: Final answer
    x = 1,255,758,957.70

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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.