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Finding the Third Proportional to 2,947,005 and 6,441,858

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Solution

The third proportional to 2,947,005 and 6,441,858 is: 14,081,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,005 : 6,441,858 = 6,441,858 : x
  2. Step 2: Convert to fraction form
    2,947,005/6,441,858 = 6,441,858/x
  3. Step 3: Cross multiply
    2,947,005x = 6,441,858 × 6,441,858
  4. Step 4: Simplify right side
    2,947,005x = 41,497,534,492,164
  5. Step 5: Solve for x
    x = 41,497,534,492,164/2,947,005
  6. Step 6: Final answer
    x = 14,081,256.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.