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Finding the Third Proportional to 4,561,598 and 9,876,064

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Solution

The third proportional to 4,561,598 and 9,876,064 is: 21,382,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561,598 : 9,876,064 = 9,876,064 : x
  2. Step 2: Convert to fraction form
    4,561,598/9,876,064 = 9,876,064/x
  3. Step 3: Cross multiply
    4,561,598x = 9,876,064 × 9,876,064
  4. Step 4: Simplify right side
    4,561,598x = 97,536,640,132,096
  5. Step 5: Solve for x
    x = 97,536,640,132,096/4,561,598
  6. Step 6: Final answer
    x = 21,382,120.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.