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Finding the Third Proportional to 6,306,768 and 9,743,852

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Solution

The third proportional to 6,306,768 and 9,743,852 is: 15,054,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,768 : 9,743,852 = 9,743,852 : x
  2. Step 2: Convert to fraction form
    6,306,768/9,743,852 = 9,743,852/x
  3. Step 3: Cross multiply
    6,306,768x = 9,743,852 × 9,743,852
  4. Step 4: Simplify right side
    6,306,768x = 94,942,651,797,904
  5. Step 5: Solve for x
    x = 94,942,651,797,904/6,306,768
  6. Step 6: Final answer
    x = 15,054,089.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.