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Finding the Third Proportional to 4,814,959,784 and 6,780,524,400

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Solution

The third proportional to 4,814,959,784 and 6,780,524,400 is: 9,548,472,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814,959,784 : 6,780,524,400 = 6,780,524,400 : x
  2. Step 2: Convert to fraction form
    4,814,959,784/6,780,524,400 = 6,780,524,400/x
  3. Step 3: Cross multiply
    4,814,959,784x = 6,780,524,400 × 6,780,524,400
  4. Step 4: Simplify right side
    4,814,959,784x = 45,975,511,138,995,363,840
  5. Step 5: Solve for x
    x = 45,975,511,138,995,363,840/4,814,959,784
  6. Step 6: Final answer
    x = 9,548,472,510.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.