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Finding the Third Proportional to 10,385,298 and 22,599,288

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Solution

The third proportional to 10,385,298 and 22,599,288 is: 49,177,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,298 : 22,599,288 = 22,599,288 : x
  2. Step 2: Convert to fraction form
    10,385,298/22,599,288 = 22,599,288/x
  3. Step 3: Cross multiply
    10,385,298x = 22,599,288 × 22,599,288
  4. Step 4: Simplify right side
    10,385,298x = 510,727,818,106,944
  5. Step 5: Solve for x
    x = 510,727,818,106,944/10,385,298
  6. Step 6: Final answer
    x = 49,177,964.67

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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.