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Finding the Third Proportional to 4,678,648 and 7,052,534

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Solution

The third proportional to 4,678,648 and 7,052,534 is: 10,630,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,648 : 7,052,534 = 7,052,534 : x
  2. Step 2: Convert to fraction form
    4,678,648/7,052,534 = 7,052,534/x
  3. Step 3: Cross multiply
    4,678,648x = 7,052,534 × 7,052,534
  4. Step 4: Simplify right side
    4,678,648x = 49,738,235,821,156
  5. Step 5: Solve for x
    x = 49,738,235,821,156/4,678,648
  6. Step 6: Final answer
    x = 10,630,899.32

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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.