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Finding the Third Proportional to 7,462,154 and 15,821,077

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Solution

The third proportional to 7,462,154 and 15,821,077 is: 33,543,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462,154 : 15,821,077 = 15,821,077 : x
  2. Step 2: Convert to fraction form
    7,462,154/15,821,077 = 15,821,077/x
  3. Step 3: Cross multiply
    7,462,154x = 15,821,077 × 15,821,077
  4. Step 4: Simplify right side
    7,462,154x = 250,306,477,439,929
  5. Step 5: Solve for x
    x = 250,306,477,439,929/7,462,154
  6. Step 6: Final answer
    x = 33,543,461.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.