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Finding the Third Proportional to 4,678,632 and 7,052,509

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Solution

The third proportional to 4,678,632 and 7,052,509 is: 10,630,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,632 : 7,052,509 = 7,052,509 : x
  2. Step 2: Convert to fraction form
    4,678,632/7,052,509 = 7,052,509/x
  3. Step 3: Cross multiply
    4,678,632x = 7,052,509 × 7,052,509
  4. Step 4: Simplify right side
    4,678,632x = 49,737,883,195,081
  5. Step 5: Solve for x
    x = 49,737,883,195,081/4,678,632
  6. Step 6: Final answer
    x = 10,630,860.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.