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Finding the Third Proportional to 10,662,619 and 23,024,259

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Solution

The third proportional to 10,662,619 and 23,024,259 is: 49,717,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662,619 : 23,024,259 = 23,024,259 : x
  2. Step 2: Convert to fraction form
    10,662,619/23,024,259 = 23,024,259/x
  3. Step 3: Cross multiply
    10,662,619x = 23,024,259 × 23,024,259
  4. Step 4: Simplify right side
    10,662,619x = 530,116,502,499,081
  5. Step 5: Solve for x
    x = 530,116,502,499,081/10,662,619
  6. Step 6: Final answer
    x = 49,717,288.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.