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Finding the Third Proportional to 9,778,023.84 and 20,645,868.52

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Solution

The third proportional to 9,778,023.84 and 20,645,868.52 is: 43,592,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,023.84 : 20,645,868.52 = 20,645,868.52 : x
  2. Step 2: Convert to fraction form
    9,778,023.84/20,645,868.52 = 20,645,868.52/x
  3. Step 3: Cross multiply
    9,778,023.84x = 20,645,868.52 × 20,645,868.52
  4. Step 4: Simplify right side
    9,778,023.84x = 426,251,886,764,475.62
  5. Step 5: Solve for x
    x = 426,251,886,764,475.62/9,778,023.84
  6. Step 6: Final answer
    x = 43,592,845.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.