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Finding the Third Proportional to 74,048,091 and 159,475,323

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Solution

The third proportional to 74,048,091 and 159,475,323 is: 343,457,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048,091 : 159,475,323 = 159,475,323 : x
  2. Step 2: Convert to fraction form
    74,048,091/159,475,323 = 159,475,323/x
  3. Step 3: Cross multiply
    74,048,091x = 159,475,323 × 159,475,323
  4. Step 4: Simplify right side
    74,048,091x = 25,432,378,645,954,328
  5. Step 5: Solve for x
    x = 25,432,378,645,954,328/74,048,091
  6. Step 6: Final answer
    x = 343,457,586.85

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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.