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Finding the Third Proportional to 4,733,007 and 10,210,566

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Solution

The third proportional to 4,733,007 and 10,210,566 is: 22,027,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,007 : 10,210,566 = 10,210,566 : x
  2. Step 2: Convert to fraction form
    4,733,007/10,210,566 = 10,210,566/x
  3. Step 3: Cross multiply
    4,733,007x = 10,210,566 × 10,210,566
  4. Step 4: Simplify right side
    4,733,007x = 104,255,658,040,356
  5. Step 5: Solve for x
    x = 104,255,658,040,356/4,733,007
  6. Step 6: Final answer
    x = 22,027,361.89

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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.