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Finding the Third Proportional to 10,256,012 and 21,884,760

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Solution

The third proportional to 10,256,012 and 21,884,760 is: 46,698,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256,012 : 21,884,760 = 21,884,760 : x
  2. Step 2: Convert to fraction form
    10,256,012/21,884,760 = 21,884,760/x
  3. Step 3: Cross multiply
    10,256,012x = 21,884,760 × 21,884,760
  4. Step 4: Simplify right side
    10,256,012x = 478,942,720,257,600
  5. Step 5: Solve for x
    x = 478,942,720,257,600/10,256,012
  6. Step 6: Final answer
    x = 46,698,728.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.