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Finding the Third Proportional to 2,866,969,049,964.80 and 6,142,872,083,872.40

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Solution

The third proportional to 2,866,969,049,964.80 and 6,142,872,083,872.40 is: 13,161,940,984,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866,969,049,964.80 : 6,142,872,083,872.40 = 6,142,872,083,872.40 : x
  2. Step 2: Convert to fraction form
    2,866,969,049,964.80/6,142,872,083,872.40 = 6,142,872,083,872.40/x
  3. Step 3: Cross multiply
    2,866,969,049,964.80x = 6,142,872,083,872.40 × 6,142,872,083,872.40
  4. Step 4: Simplify right side
    2,866,969,049,964.80x = 37,734,877,438,818,848,652,394,496
  5. Step 5: Solve for x
    x = 37,734,877,438,818,848,652,394,496/2,866,969,049,964.80
  6. Step 6: Final answer
    x = 13,161,940,984,079.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.