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Finding the Third Proportional to 10,774,002 and 23,227,140

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Solution

The third proportional to 10,774,002 and 23,227,140 is: 50,074,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,002 : 23,227,140 = 23,227,140 : x
  2. Step 2: Convert to fraction form
    10,774,002/23,227,140 = 23,227,140/x
  3. Step 3: Cross multiply
    10,774,002x = 23,227,140 × 23,227,140
  4. Step 4: Simplify right side
    10,774,002x = 539,500,032,579,600
  5. Step 5: Solve for x
    x = 539,500,032,579,600/10,774,002
  6. Step 6: Final answer
    x = 50,074,246.56

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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.