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Finding the Third Proportional to 7,724,350 and 11,350,048

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Solution

The third proportional to 7,724,350 and 11,350,048 is: 16,677,596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724,350 : 11,350,048 = 11,350,048 : x
  2. Step 2: Convert to fraction form
    7,724,350/11,350,048 = 11,350,048/x
  3. Step 3: Cross multiply
    7,724,350x = 11,350,048 × 11,350,048
  4. Step 4: Simplify right side
    7,724,350x = 128,823,589,602,304
  5. Step 5: Solve for x
    x = 128,823,589,602,304/7,724,350
  6. Step 6: Final answer
    x = 16,677,596.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.