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Finding the Third Proportional to 4,814,959,741 and 6,780,524,347

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Solution

The third proportional to 4,814,959,741 and 6,780,524,347 is: 9,548,472,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814,959,741 : 6,780,524,347 = 6,780,524,347 : x
  2. Step 2: Convert to fraction form
    4,814,959,741/6,780,524,347 = 6,780,524,347/x
  3. Step 3: Cross multiply
    4,814,959,741x = 6,780,524,347 × 6,780,524,347
  4. Step 4: Simplify right side
    4,814,959,741x = 45,975,510,420,259,774,464
  5. Step 5: Solve for x
    x = 45,975,510,420,259,774,464/4,814,959,741
  6. Step 6: Final answer
    x = 9,548,472,446.98

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Why These Related Problems?

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