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Finding the Third Proportional to 31,349,802 and 48,422,532

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Solution

The third proportional to 31,349,802 and 48,422,532 is: 74,792,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349,802 : 48,422,532 = 48,422,532 : x
  2. Step 2: Convert to fraction form
    31,349,802/48,422,532 = 48,422,532/x
  3. Step 3: Cross multiply
    31,349,802x = 48,422,532 × 48,422,532
  4. Step 4: Simplify right side
    31,349,802x = 2,344,741,605,291,024
  5. Step 5: Solve for x
    x = 2,344,741,605,291,024/31,349,802
  6. Step 6: Final answer
    x = 74,792,868.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.