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Finding the Third Proportional to 10,028,595 and 21,653,214

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Solution

The third proportional to 10,028,595 and 21,653,214 is: 46,752,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028,595 : 21,653,214 = 21,653,214 : x
  2. Step 2: Convert to fraction form
    10,028,595/21,653,214 = 21,653,214/x
  3. Step 3: Cross multiply
    10,028,595x = 21,653,214 × 21,653,214
  4. Step 4: Simplify right side
    10,028,595x = 468,861,676,529,796
  5. Step 5: Solve for x
    x = 468,861,676,529,796/10,028,595
  6. Step 6: Final answer
    x = 46,752,478.94

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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.