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Finding the Third Proportional to 7,431,768 and 10,465,632

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Solution

The third proportional to 7,431,768 and 10,465,632 is: 14,738,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431,768 : 10,465,632 = 10,465,632 : x
  2. Step 2: Convert to fraction form
    7,431,768/10,465,632 = 10,465,632/x
  3. Step 3: Cross multiply
    7,431,768x = 10,465,632 × 10,465,632
  4. Step 4: Simplify right side
    7,431,768x = 109,529,453,159,424
  5. Step 5: Solve for x
    x = 109,529,453,159,424/7,431,768
  6. Step 6: Final answer
    x = 14,738,007.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.