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Finding the Third Proportional to 7,453,810.13 and 15,767,034.38

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Solution

The third proportional to 7,453,810.13 and 15,767,034.38 is: 33,351,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453,810.13 : 15,767,034.38 = 15,767,034.38 : x
  2. Step 2: Convert to fraction form
    7,453,810.13/15,767,034.38 = 15,767,034.38/x
  3. Step 3: Cross multiply
    7,453,810.13x = 15,767,034.38 × 15,767,034.38
  4. Step 4: Simplify right side
    7,453,810.13x = 248,599,372,982,431.62
  5. Step 5: Solve for x
    x = 248,599,372,982,431.62/7,453,810.13
  6. Step 6: Final answer
    x = 33,351,986.27

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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.