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Finding the Third Proportional to 3,614,742 and 7,824,580

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Solution

The third proportional to 3,614,742 and 7,824,580 is: 16,937,322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614,742 : 7,824,580 = 7,824,580 : x
  2. Step 2: Convert to fraction form
    3,614,742/7,824,580 = 7,824,580/x
  3. Step 3: Cross multiply
    3,614,742x = 7,824,580 × 7,824,580
  4. Step 4: Simplify right side
    3,614,742x = 61,224,052,176,400
  5. Step 5: Solve for x
    x = 61,224,052,176,400/3,614,742
  6. Step 6: Final answer
    x = 16,937,322.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.