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Finding the Third Proportional to 6,306,741 and 9,743,814

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Solution

The third proportional to 6,306,741 and 9,743,814 is: 15,054,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,741 : 9,743,814 = 9,743,814 : x
  2. Step 2: Convert to fraction form
    6,306,741/9,743,814 = 9,743,814/x
  3. Step 3: Cross multiply
    6,306,741x = 9,743,814 × 9,743,814
  4. Step 4: Simplify right side
    6,306,741x = 94,941,911,266,596
  5. Step 5: Solve for x
    x = 94,941,911,266,596/6,306,741
  6. Step 6: Final answer
    x = 15,054,036.83

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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.