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Finding the Third Proportional to 10,238,353 and 22,405,154

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Solution

The third proportional to 10,238,353 and 22,405,154 is: 49,030,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238,353 : 22,405,154 = 22,405,154 : x
  2. Step 2: Convert to fraction form
    10,238,353/22,405,154 = 22,405,154/x
  3. Step 3: Cross multiply
    10,238,353x = 22,405,154 × 22,405,154
  4. Step 4: Simplify right side
    10,238,353x = 501,990,925,763,716
  5. Step 5: Solve for x
    x = 501,990,925,763,716/10,238,353
  6. Step 6: Final answer
    x = 49,030,437.39

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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.