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Finding the Third Proportional to 31,926,348 and 48,686,652

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Solution

The third proportional to 31,926,348 and 48,686,652 is: 74,245,575.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926,348 : 48,686,652 = 48,686,652 : x
  2. Step 2: Convert to fraction form
    31,926,348/48,686,652 = 48,686,652/x
  3. Step 3: Cross multiply
    31,926,348x = 48,686,652 × 48,686,652
  4. Step 4: Simplify right side
    31,926,348x = 2,370,390,082,969,104
  5. Step 5: Solve for x
    x = 2,370,390,082,969,104/31,926,348
  6. Step 6: Final answer
    x = 74,245,575.57

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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.