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Finding the Third Proportional to 50,538,642 and 77,633,536

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Solution

The third proportional to 50,538,642 and 77,633,536 is: 119,254,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,538,642 : 77,633,536 = 77,633,536 : x
  2. Step 2: Convert to fraction form
    50,538,642/77,633,536 = 77,633,536/x
  3. Step 3: Cross multiply
    50,538,642x = 77,633,536 × 77,633,536
  4. Step 4: Simplify right side
    50,538,642x = 6,026,965,911,863,296
  5. Step 5: Solve for x
    x = 6,026,965,911,863,296/50,538,642
  6. Step 6: Final answer
    x = 119,254,607.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.