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Finding the Third Proportional to 2,601,046,872 and 3,962,549,112

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Solution

The third proportional to 2,601,046,872 and 3,962,549,112 is: 6,036,721,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601,046,872 : 3,962,549,112 = 3,962,549,112 : x
  2. Step 2: Convert to fraction form
    2,601,046,872/3,962,549,112 = 3,962,549,112/x
  3. Step 3: Cross multiply
    2,601,046,872x = 3,962,549,112 × 3,962,549,112
  4. Step 4: Simplify right side
    2,601,046,872x = 15,701,795,465,011,988,480
  5. Step 5: Solve for x
    x = 15,701,795,465,011,988,480/2,601,046,872
  6. Step 6: Final answer
    x = 6,036,721,457.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.