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Finding the Third Proportional to 21,011,168 and 46,008,144

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Solution

The third proportional to 21,011,168 and 46,008,144 is: 100,744,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011,168 : 46,008,144 = 46,008,144 : x
  2. Step 2: Convert to fraction form
    21,011,168/46,008,144 = 46,008,144/x
  3. Step 3: Cross multiply
    21,011,168x = 46,008,144 × 46,008,144
  4. Step 4: Simplify right side
    21,011,168x = 2,116,749,314,324,736
  5. Step 5: Solve for x
    x = 2,116,749,314,324,736/21,011,168
  6. Step 6: Final answer
    x = 100,744,009.77

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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.