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Finding the Third Proportional to 11,102,977.50 and 24,758,871

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Solution

The third proportional to 11,102,977.50 and 24,758,871 is: 55,210,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102,977.50 : 24,758,871 = 24,758,871 : x
  2. Step 2: Convert to fraction form
    11,102,977.50/24,758,871 = 24,758,871/x
  3. Step 3: Cross multiply
    11,102,977.50x = 24,758,871 × 24,758,871
  4. Step 4: Simplify right side
    11,102,977.50x = 613,001,693,194,641
  5. Step 5: Solve for x
    x = 613,001,693,194,641/11,102,977.50
  6. Step 6: Final answer
    x = 55,210,567.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.