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Finding the Third Proportional to 10,356,741 and 15,535,107

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Solution

The third proportional to 10,356,741 and 15,535,107 is: 23,302,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356,741 : 15,535,107 = 15,535,107 : x
  2. Step 2: Convert to fraction form
    10,356,741/15,535,107 = 15,535,107/x
  3. Step 3: Cross multiply
    10,356,741x = 15,535,107 × 15,535,107
  4. Step 4: Simplify right side
    10,356,741x = 241,339,549,501,449
  5. Step 5: Solve for x
    x = 241,339,549,501,449/10,356,741
  6. Step 6: Final answer
    x = 23,302,653.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.