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Finding the Third Proportional to 10,223,768.50 and 21,883,991

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Solution

The third proportional to 10,223,768.50 and 21,883,991 is: 46,842,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223,768.50 : 21,883,991 = 21,883,991 : x
  2. Step 2: Convert to fraction form
    10,223,768.50/21,883,991 = 21,883,991/x
  3. Step 3: Cross multiply
    10,223,768.50x = 21,883,991 × 21,883,991
  4. Step 4: Simplify right side
    10,223,768.50x = 478,909,062,088,081
  5. Step 5: Solve for x
    x = 478,909,062,088,081/10,223,768.50
  6. Step 6: Final answer
    x = 46,842,713.83

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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.