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Finding the Third Proportional to 31,477,517 and 68,074,304

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Solution

The third proportional to 31,477,517 and 68,074,304 is: 147,219,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477,517 : 68,074,304 = 68,074,304 : x
  2. Step 2: Convert to fraction form
    31,477,517/68,074,304 = 68,074,304/x
  3. Step 3: Cross multiply
    31,477,517x = 68,074,304 × 68,074,304
  4. Step 4: Simplify right side
    31,477,517x = 4,634,110,865,084,416
  5. Step 5: Solve for x
    x = 4,634,110,865,084,416/31,477,517
  6. Step 6: Final answer
    x = 147,219,708.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.