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Finding the Third Proportional to 6,065,294 and 13,343,644

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Solution

The third proportional to 6,065,294 and 13,343,644 is: 29,356,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,294 : 13,343,644 = 13,343,644 : x
  2. Step 2: Convert to fraction form
    6,065,294/13,343,644 = 13,343,644/x
  3. Step 3: Cross multiply
    6,065,294x = 13,343,644 × 13,343,644
  4. Step 4: Simplify right side
    6,065,294x = 178,052,835,198,736
  5. Step 5: Solve for x
    x = 178,052,835,198,736/6,065,294
  6. Step 6: Final answer
    x = 29,356,010.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.