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Finding the Third Proportional to 3,482,854,758 and 7,577,896,743

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Solution

The third proportional to 3,482,854,758 and 7,577,896,743 is: 16,487,773,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,854,758 : 7,577,896,743 = 7,577,896,743 : x
  2. Step 2: Convert to fraction form
    3,482,854,758/7,577,896,743 = 7,577,896,743/x
  3. Step 3: Cross multiply
    3,482,854,758x = 7,577,896,743 × 7,577,896,743
  4. Step 4: Simplify right side
    3,482,854,758x = 57,424,519,047,570,006,016
  5. Step 5: Solve for x
    x = 57,424,519,047,570,006,016/3,482,854,758
  6. Step 6: Final answer
    x = 16,487,773,116.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.