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Finding the Third Proportional to 74,397,872 and 157,646,128

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Solution

The third proportional to 74,397,872 and 157,646,128 is: 334,045,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397,872 : 157,646,128 = 157,646,128 : x
  2. Step 2: Convert to fraction form
    74,397,872/157,646,128 = 157,646,128/x
  3. Step 3: Cross multiply
    74,397,872x = 157,646,128 × 157,646,128
  4. Step 4: Simplify right side
    74,397,872x = 24,852,301,673,392,384
  5. Step 5: Solve for x
    x = 24,852,301,673,392,384/74,397,872
  6. Step 6: Final answer
    x = 334,045,867.24

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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.