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Finding the Third Proportional to 42,799,824 and 92,580,576

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Solution

The third proportional to 42,799,824 and 92,580,576 is: 200,261,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,799,824 : 92,580,576 = 92,580,576 : x
  2. Step 2: Convert to fraction form
    42,799,824/92,580,576 = 92,580,576/x
  3. Step 3: Cross multiply
    42,799,824x = 92,580,576 × 92,580,576
  4. Step 4: Simplify right side
    42,799,824x = 8,571,163,052,491,776
  5. Step 5: Solve for x
    x = 8,571,163,052,491,776/42,799,824
  6. Step 6: Final answer
    x = 200,261,642.49

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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.