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Finding the Third Proportional to 4,526,064 and 9,760,716

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Solution

The third proportional to 4,526,064 and 9,760,716 is: 21,049,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526,064 : 9,760,716 = 9,760,716 : x
  2. Step 2: Convert to fraction form
    4,526,064/9,760,716 = 9,760,716/x
  3. Step 3: Cross multiply
    4,526,064x = 9,760,716 × 9,760,716
  4. Step 4: Simplify right side
    4,526,064x = 95,271,576,832,656
  5. Step 5: Solve for x
    x = 95,271,576,832,656/4,526,064
  6. Step 6: Final answer
    x = 21,049,542.57

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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.