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Finding the Third Proportional to 17,508,780 and 27,970,650

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Solution

The third proportional to 17,508,780 and 27,970,650 is: 44,683,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508,780 : 27,970,650 = 27,970,650 : x
  2. Step 2: Convert to fraction form
    17,508,780/27,970,650 = 27,970,650/x
  3. Step 3: Cross multiply
    17,508,780x = 27,970,650 × 27,970,650
  4. Step 4: Simplify right side
    17,508,780x = 782,357,261,422,500
  5. Step 5: Solve for x
    x = 782,357,261,422,500/17,508,780
  6. Step 6: Final answer
    x = 44,683,710.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.