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Finding the Third Proportional to 9,023,796 and 19,486,026

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Solution

The third proportional to 9,023,796 and 19,486,026 is: 42,078,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023,796 : 19,486,026 = 19,486,026 : x
  2. Step 2: Convert to fraction form
    9,023,796/19,486,026 = 19,486,026/x
  3. Step 3: Cross multiply
    9,023,796x = 19,486,026 × 19,486,026
  4. Step 4: Simplify right side
    9,023,796x = 379,705,209,272,676
  5. Step 5: Solve for x
    x = 379,705,209,272,676/9,023,796
  6. Step 6: Final answer
    x = 42,078,212.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.