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Finding the Third Proportional to 10,511,089.50 and 22,593,417

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Solution

The third proportional to 10,511,089.50 and 22,593,417 is: 48,564,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511,089.50 : 22,593,417 = 22,593,417 : x
  2. Step 2: Convert to fraction form
    10,511,089.50/22,593,417 = 22,593,417/x
  3. Step 3: Cross multiply
    10,511,089.50x = 22,593,417 × 22,593,417
  4. Step 4: Simplify right side
    10,511,089.50x = 510,462,491,735,889
  5. Step 5: Solve for x
    x = 510,462,491,735,889/10,511,089.50
  6. Step 6: Final answer
    x = 48,564,184.69

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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.