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Finding the Third Proportional to 2,681,568,102 and 4,185,290,710

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Solution

The third proportional to 2,681,568,102 and 4,185,290,710 is: 6,532,244,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681,568,102 : 4,185,290,710 = 4,185,290,710 : x
  2. Step 2: Convert to fraction form
    2,681,568,102/4,185,290,710 = 4,185,290,710/x
  3. Step 3: Cross multiply
    2,681,568,102x = 4,185,290,710 × 4,185,290,710
  4. Step 4: Simplify right side
    2,681,568,102x = 17,516,658,327,212,304,384
  5. Step 5: Solve for x
    x = 17,516,658,327,212,304,384/2,681,568,102
  6. Step 6: Final answer
    x = 6,532,244,440.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.