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Finding the Third Proportional to 50,342,798.25 and 77,669,775

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Solution

The third proportional to 50,342,798.25 and 77,669,775 is: 119,830,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342,798.25 : 77,669,775 = 77,669,775 : x
  2. Step 2: Convert to fraction form
    50,342,798.25/77,669,775 = 77,669,775/x
  3. Step 3: Cross multiply
    50,342,798.25x = 77,669,775 × 77,669,775
  4. Step 4: Simplify right side
    50,342,798.25x = 6,032,593,948,550,625
  5. Step 5: Solve for x
    x = 6,032,593,948,550,625/50,342,798.25
  6. Step 6: Final answer
    x = 119,830,326.45

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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.