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Finding the Third Proportional to 8,216,736.19 and 12,822,530.34

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Solution

The third proportional to 8,216,736.19 and 12,822,530.34 is: 20,010,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216,736.19 : 12,822,530.34 = 12,822,530.34 : x
  2. Step 2: Convert to fraction form
    8,216,736.19/12,822,530.34 = 12,822,530.34/x
  3. Step 3: Cross multiply
    8,216,736.19x = 12,822,530.34 × 12,822,530.34
  4. Step 4: Simplify right side
    8,216,736.19x = 164,417,284,416,389.50
  5. Step 5: Solve for x
    x = 164,417,284,416,389.50/8,216,736.19
  6. Step 6: Final answer
    x = 20,010,047.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.