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Finding the Third Proportional to 7,461,720 and 15,820,234.03

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Solution

The third proportional to 7,461,720 and 15,820,234.03 is: 33,541,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461,720 : 15,820,234.03 = 15,820,234.03 : x
  2. Step 2: Convert to fraction form
    7,461,720/15,820,234.03 = 15,820,234.03/x
  3. Step 3: Cross multiply
    7,461,720x = 15,820,234.03 × 15,820,234.03
  4. Step 4: Simplify right side
    7,461,720x = 250,279,804,803,520.62
  5. Step 5: Solve for x
    x = 250,279,804,803,520.62/7,461,720
  6. Step 6: Final answer
    x = 33,541,838.18

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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.