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Finding the Third Proportional to 10,111,419 and 21,640,014

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Solution

The third proportional to 10,111,419 and 21,640,014 is: 46,313,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111,419 : 21,640,014 = 21,640,014 : x
  2. Step 2: Convert to fraction form
    10,111,419/21,640,014 = 21,640,014/x
  3. Step 3: Cross multiply
    10,111,419x = 21,640,014 × 21,640,014
  4. Step 4: Simplify right side
    10,111,419x = 468,290,205,920,196
  5. Step 5: Solve for x
    x = 468,290,205,920,196/10,111,419
  6. Step 6: Final answer
    x = 46,313,005.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.