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Finding the Third Proportional to 10,294,209 and 22,282,857

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Solution

The third proportional to 10,294,209 and 22,282,857 is: 48,233,498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,209 : 22,282,857 = 22,282,857 : x
  2. Step 2: Convert to fraction form
    10,294,209/22,282,857 = 22,282,857/x
  3. Step 3: Cross multiply
    10,294,209x = 22,282,857 × 22,282,857
  4. Step 4: Simplify right side
    10,294,209x = 496,525,716,082,449
  5. Step 5: Solve for x
    x = 496,525,716,082,449/10,294,209
  6. Step 6: Final answer
    x = 48,233,498.67

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