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Finding the Third Proportional to 10,238,359 and 22,405,166

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Solution

The third proportional to 10,238,359 and 22,405,166 is: 49,030,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238,359 : 22,405,166 = 22,405,166 : x
  2. Step 2: Convert to fraction form
    10,238,359/22,405,166 = 22,405,166/x
  3. Step 3: Cross multiply
    10,238,359x = 22,405,166 × 22,405,166
  4. Step 4: Simplify right side
    10,238,359x = 501,991,463,487,556
  5. Step 5: Solve for x
    x = 501,991,463,487,556/10,238,359
  6. Step 6: Final answer
    x = 49,030,461.18

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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.