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Finding the Third Proportional to 10,093,543.50 and 22,141,239

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Solution

The third proportional to 10,093,543.50 and 22,141,239 is: 48,569,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,543.50 : 22,141,239 = 22,141,239 : x
  2. Step 2: Convert to fraction form
    10,093,543.50/22,141,239 = 22,141,239/x
  3. Step 3: Cross multiply
    10,093,543.50x = 22,141,239 × 22,141,239
  4. Step 4: Simplify right side
    10,093,543.50x = 490,234,464,455,121
  5. Step 5: Solve for x
    x = 490,234,464,455,121/10,093,543.50
  6. Step 6: Final answer
    x = 48,569,113.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.