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Finding the Third Proportional to 10,365,967 and 22,555,071

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Solution

The third proportional to 10,365,967 and 22,555,071 is: 49,077,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,967 : 22,555,071 = 22,555,071 : x
  2. Step 2: Convert to fraction form
    10,365,967/22,555,071 = 22,555,071/x
  3. Step 3: Cross multiply
    10,365,967x = 22,555,071 × 22,555,071
  4. Step 4: Simplify right side
    10,365,967x = 508,731,227,815,041
  5. Step 5: Solve for x
    x = 508,731,227,815,041/10,365,967
  6. Step 6: Final answer
    x = 49,077,064.19

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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.