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Finding the Third Proportional to 614,082,954 and 878,145,871.50

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Solution

The third proportional to 614,082,954 and 878,145,871.50 is: 1,255,758,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,082,954 : 878,145,871.50 = 878,145,871.50 : x
  2. Step 2: Convert to fraction form
    614,082,954/878,145,871.50 = 878,145,871.50/x
  3. Step 3: Cross multiply
    614,082,954x = 878,145,871.50 × 878,145,871.50
  4. Step 4: Simplify right side
    614,082,954x = 771,140,171,632,494,464
  5. Step 5: Solve for x
    x = 771,140,171,632,494,464/614,082,954
  6. Step 6: Final answer
    x = 1,255,758,959.94

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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.