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Finding the Third Proportional to 9,822,907.13 and 20,663,818.88

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Solution

The third proportional to 9,822,907.13 and 20,663,818.88 is: 43,469,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822,907.13 : 20,663,818.88 = 20,663,818.88 : x
  2. Step 2: Convert to fraction form
    9,822,907.13/20,663,818.88 = 20,663,818.88/x
  3. Step 3: Cross multiply
    9,822,907.13x = 20,663,818.88 × 20,663,818.88
  4. Step 4: Simplify right side
    9,822,907.13x = 426,993,410,498,806.25
  5. Step 5: Solve for x
    x = 426,993,410,498,806.25/9,822,907.13
  6. Step 6: Final answer
    x = 43,469,148.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.