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Finding the Third Proportional to 7,453,813 and 15,767,041

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Solution

The third proportional to 7,453,813 and 15,767,041 is: 33,352,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453,813 : 15,767,041 = 15,767,041 : x
  2. Step 2: Convert to fraction form
    7,453,813/15,767,041 = 15,767,041/x
  3. Step 3: Cross multiply
    7,453,813x = 15,767,041 × 15,767,041
  4. Step 4: Simplify right side
    7,453,813x = 248,599,581,895,681
  5. Step 5: Solve for x
    x = 248,599,581,895,681/7,453,813
  6. Step 6: Final answer
    x = 33,352,001.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.