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Finding the Third Proportional to 10,223,770 and 21,883,993

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Solution

The third proportional to 10,223,770 and 21,883,993 is: 46,842,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223,770 : 21,883,993 = 21,883,993 : x
  2. Step 2: Convert to fraction form
    10,223,770/21,883,993 = 21,883,993/x
  3. Step 3: Cross multiply
    10,223,770x = 21,883,993 × 21,883,993
  4. Step 4: Simplify right side
    10,223,770x = 478,909,149,624,049
  5. Step 5: Solve for x
    x = 478,909,149,624,049/10,223,770
  6. Step 6: Final answer
    x = 46,842,715.52

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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.