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Finding the Third Proportional to 74,397,874 and 157,646,132

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Solution

The third proportional to 74,397,874 and 157,646,132 is: 334,045,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397,874 : 157,646,132 = 157,646,132 : x
  2. Step 2: Convert to fraction form
    74,397,874/157,646,132 = 157,646,132/x
  3. Step 3: Cross multiply
    74,397,874x = 157,646,132 × 157,646,132
  4. Step 4: Simplify right side
    74,397,874x = 24,852,302,934,561,424
  5. Step 5: Solve for x
    x = 24,852,302,934,561,424/74,397,874
  6. Step 6: Final answer
    x = 334,045,875.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.