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Finding the Third Proportional to 31,926,356 and 48,686,664

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Solution

The third proportional to 31,926,356 and 48,686,664 is: 74,245,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926,356 : 48,686,664 = 48,686,664 : x
  2. Step 2: Convert to fraction form
    31,926,356/48,686,664 = 48,686,664/x
  3. Step 3: Cross multiply
    31,926,356x = 48,686,664 × 48,686,664
  4. Step 4: Simplify right side
    31,926,356x = 2,370,391,251,448,896
  5. Step 5: Solve for x
    x = 2,370,391,251,448,896/31,926,356
  6. Step 6: Final answer
    x = 74,245,593.56

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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.