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Finding the Third Proportional to 4,041,082.64 and 8,822,871.11

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Solution

The third proportional to 4,041,082.64 and 8,822,871.11 is: 19,262,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041,082.64 : 8,822,871.11 = 8,822,871.11 : x
  2. Step 2: Convert to fraction form
    4,041,082.64/8,822,871.11 = 8,822,871.11/x
  3. Step 3: Cross multiply
    4,041,082.64x = 8,822,871.11 × 8,822,871.11
  4. Step 4: Simplify right side
    4,041,082.64x = 77,843,054,660,021.11
  5. Step 5: Solve for x
    x = 77,843,054,660,021.11/4,041,082.64
  6. Step 6: Final answer
    x = 19,262,920.74

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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.