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Finding the Third Proportional to 347,218,974 and 748,954,080

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Solution

The third proportional to 347,218,974 and 748,954,080 is: 1,615,499,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,218,974 : 748,954,080 = 748,954,080 : x
  2. Step 2: Convert to fraction form
    347,218,974/748,954,080 = 748,954,080/x
  3. Step 3: Cross multiply
    347,218,974x = 748,954,080 × 748,954,080
  4. Step 4: Simplify right side
    347,218,974x = 560,932,213,948,646,400
  5. Step 5: Solve for x
    x = 560,932,213,948,646,400/347,218,974
  6. Step 6: Final answer
    x = 1,615,499,888.98

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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.