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Finding the Third Proportional to 10,196,340.75 and 22,185,611.44

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Solution

The third proportional to 10,196,340.75 and 22,185,611.44 is: 48,272,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196,340.75 : 22,185,611.44 = 22,185,611.44 : x
  2. Step 2: Convert to fraction form
    10,196,340.75/22,185,611.44 = 22,185,611.44/x
  3. Step 3: Cross multiply
    10,196,340.75x = 22,185,611.44 × 22,185,611.44
  4. Step 4: Simplify right side
    10,196,340.75x = 492,201,354,855,730.81
  5. Step 5: Solve for x
    x = 492,201,354,855,730.81/10,196,340.75
  6. Step 6: Final answer
    x = 48,272,352.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.