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Finding the Third Proportional to 10,365,965 and 22,555,062

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Solution

The third proportional to 10,365,965 and 22,555,062 is: 49,077,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,965 : 22,555,062 = 22,555,062 : x
  2. Step 2: Convert to fraction form
    10,365,965/22,555,062 = 22,555,062/x
  3. Step 3: Cross multiply
    10,365,965x = 22,555,062 × 22,555,062
  4. Step 4: Simplify right side
    10,365,965x = 508,730,821,823,844
  5. Step 5: Solve for x
    x = 508,730,821,823,844/10,365,965
  6. Step 6: Final answer
    x = 49,077,034.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.