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Finding the Third Proportional to 6,306,758 and 9,743,835

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Solution

The third proportional to 6,306,758 and 9,743,835 is: 15,054,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,758 : 9,743,835 = 9,743,835 : x
  2. Step 2: Convert to fraction form
    6,306,758/9,743,835 = 9,743,835/x
  3. Step 3: Cross multiply
    6,306,758x = 9,743,835 × 9,743,835
  4. Step 4: Simplify right side
    6,306,758x = 94,942,320,507,225
  5. Step 5: Solve for x
    x = 94,942,320,507,225/6,306,758
  6. Step 6: Final answer
    x = 15,054,061.14

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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.