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Finding the Third Proportional to 10,818,823.50 and 22,844,871

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Solution

The third proportional to 10,818,823.50 and 22,844,871 is: 48,238,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,818,823.50 : 22,844,871 = 22,844,871 : x
  2. Step 2: Convert to fraction form
    10,818,823.50/22,844,871 = 22,844,871/x
  3. Step 3: Cross multiply
    10,818,823.50x = 22,844,871 × 22,844,871
  4. Step 4: Simplify right side
    10,818,823.50x = 521,888,131,006,641
  5. Step 5: Solve for x
    x = 521,888,131,006,641/10,818,823.50
  6. Step 6: Final answer
    x = 48,238,898.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.