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Finding the Third Proportional to 74,048,104 and 159,475,348

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Solution

The third proportional to 74,048,104 and 159,475,348 is: 343,457,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,048,104 : 159,475,348 = 159,475,348 : x
  2. Step 2: Convert to fraction form
    74,048,104/159,475,348 = 159,475,348/x
  3. Step 3: Cross multiply
    74,048,104x = 159,475,348 × 159,475,348
  4. Step 4: Simplify right side
    74,048,104x = 25,432,386,619,721,104
  5. Step 5: Solve for x
    x = 25,432,386,619,721,104/74,048,104
  6. Step 6: Final answer
    x = 343,457,634.24

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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.