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Finding the Third Proportional to 7,291,098 and 15,954,642

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Solution

The third proportional to 7,291,098 and 15,954,642 is: 34,912,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291,098 : 15,954,642 = 15,954,642 : x
  2. Step 2: Convert to fraction form
    7,291,098/15,954,642 = 15,954,642/x
  3. Step 3: Cross multiply
    7,291,098x = 15,954,642 × 15,954,642
  4. Step 4: Simplify right side
    7,291,098x = 254,550,601,348,164
  5. Step 5: Solve for x
    x = 254,550,601,348,164/7,291,098
  6. Step 6: Final answer
    x = 34,912,519.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.