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Finding the Third Proportional to 10,399,758 and 23,189,361

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Solution

The third proportional to 10,399,758 and 23,189,361 is: 51,707,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,758 : 23,189,361 = 23,189,361 : x
  2. Step 2: Convert to fraction form
    10,399,758/23,189,361 = 23,189,361/x
  3. Step 3: Cross multiply
    10,399,758x = 23,189,361 × 23,189,361
  4. Step 4: Simplify right side
    10,399,758x = 537,746,463,588,321
  5. Step 5: Solve for x
    x = 537,746,463,588,321/10,399,758
  6. Step 6: Final answer
    x = 51,707,593.93

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.