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Finding the Third Proportional to 10,319,427.84 and 22,454,766.21

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Solution

The third proportional to 10,319,427.84 and 22,454,766.21 is: 48,860,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319,427.84 : 22,454,766.21 = 22,454,766.21 : x
  2. Step 2: Convert to fraction form
    10,319,427.84/22,454,766.21 = 22,454,766.21/x
  3. Step 3: Cross multiply
    10,319,427.84x = 22,454,766.21 × 22,454,766.21
  4. Step 4: Simplify right side
    10,319,427.84x = 504,216,525,587,882.88
  5. Step 5: Solve for x
    x = 504,216,525,587,882.88/10,319,427.84
  6. Step 6: Final answer
    x = 48,860,899.39

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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.