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Finding the Third Proportional to 74,048,100 and 159,475,344

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Solution

The third proportional to 74,048,100 and 159,475,344 is: 343,457,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048,100 : 159,475,344 = 159,475,344 : x
  2. Step 2: Convert to fraction form
    74,048,100/159,475,344 = 159,475,344/x
  3. Step 3: Cross multiply
    74,048,100x = 159,475,344 × 159,475,344
  4. Step 4: Simplify right side
    74,048,100x = 25,432,385,343,918,336
  5. Step 5: Solve for x
    x = 25,432,385,343,918,336/74,048,100
  6. Step 6: Final answer
    x = 343,457,635.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.