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Finding the Third Proportional to 74,396,880 and 157,644,144

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Solution

The third proportional to 74,396,880 and 157,644,144 is: 334,041,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,396,880 : 157,644,144 = 157,644,144 : x
  2. Step 2: Convert to fraction form
    74,396,880/157,644,144 = 157,644,144/x
  3. Step 3: Cross multiply
    74,396,880x = 157,644,144 × 157,644,144
  4. Step 4: Simplify right side
    74,396,880x = 24,851,676,137,492,736
  5. Step 5: Solve for x
    x = 24,851,676,137,492,736/74,396,880
  6. Step 6: Final answer
    x = 334,041,913.28

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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.