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Finding the Third Proportional to 10,511,086.50 and 22,593,411

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Solution

The third proportional to 10,511,086.50 and 22,593,411 is: 48,564,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511,086.50 : 22,593,411 = 22,593,411 : x
  2. Step 2: Convert to fraction form
    10,511,086.50/22,593,411 = 22,593,411/x
  3. Step 3: Cross multiply
    10,511,086.50x = 22,593,411 × 22,593,411
  4. Step 4: Simplify right side
    10,511,086.50x = 510,462,220,614,921
  5. Step 5: Solve for x
    x = 510,462,220,614,921/10,511,086.50
  6. Step 6: Final answer
    x = 48,564,172.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.