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Finding the Third Proportional to 10,165,705 and 22,349,219

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Solution

The third proportional to 10,165,705 and 22,349,219 is: 49,134,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165,705 : 22,349,219 = 22,349,219 : x
  2. Step 2: Convert to fraction form
    10,165,705/22,349,219 = 22,349,219/x
  3. Step 3: Cross multiply
    10,165,705x = 22,349,219 × 22,349,219
  4. Step 4: Simplify right side
    10,165,705x = 499,487,589,909,961
  5. Step 5: Solve for x
    x = 499,487,589,909,961/10,165,705
  6. Step 6: Final answer
    x = 49,134,574.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.