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Finding the Third Proportional to 3,077,896,741 and 6,241,439,554

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Solution

The third proportional to 3,077,896,741 and 6,241,439,554 is: 12,656,554,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,896,741 : 6,241,439,554 = 6,241,439,554 : x
  2. Step 2: Convert to fraction form
    3,077,896,741/6,241,439,554 = 6,241,439,554/x
  3. Step 3: Cross multiply
    3,077,896,741x = 6,241,439,554 × 6,241,439,554
  4. Step 4: Simplify right side
    3,077,896,741x = 38,955,567,706,235,715,584
  5. Step 5: Solve for x
    x = 38,955,567,706,235,715,584/3,077,896,741
  6. Step 6: Final answer
    x = 12,656,554,453.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.