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Finding the Third Proportional to 7,382,963 and 10,635,447

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Solution

The third proportional to 7,382,963 and 10,635,447 is: 15,320,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382,963 : 10,635,447 = 10,635,447 : x
  2. Step 2: Convert to fraction form
    7,382,963/10,635,447 = 10,635,447/x
  3. Step 3: Cross multiply
    7,382,963x = 10,635,447 × 10,635,447
  4. Step 4: Simplify right side
    7,382,963x = 113,112,732,889,809
  5. Step 5: Solve for x
    x = 113,112,732,889,809/7,382,963
  6. Step 6: Final answer
    x = 15,320,777.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.