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Finding the Third Proportional to 347,218,980 and 748,954,104

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Solution

The third proportional to 347,218,980 and 748,954,104 is: 1,615,499,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,218,980 : 748,954,104 = 748,954,104 : x
  2. Step 2: Convert to fraction form
    347,218,980/748,954,104 = 748,954,104/x
  3. Step 3: Cross multiply
    347,218,980x = 748,954,104 × 748,954,104
  4. Step 4: Simplify right side
    347,218,980x = 560,932,249,898,442,816
  5. Step 5: Solve for x
    x = 560,932,249,898,442,816/347,218,980
  6. Step 6: Final answer
    x = 1,615,499,964.60

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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.