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Finding the Third Proportional to 51,797,557.69 and 77,677,316.44

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Solution

The third proportional to 51,797,557.69 and 77,677,316.44 is: 116,487,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,797,557.69 : 77,677,316.44 = 77,677,316.44 : x
  2. Step 2: Convert to fraction form
    51,797,557.69/77,677,316.44 = 77,677,316.44/x
  3. Step 3: Cross multiply
    51,797,557.69x = 77,677,316.44 × 77,677,316.44
  4. Step 4: Simplify right side
    51,797,557.69x = 6,033,765,488,931,508
  5. Step 5: Solve for x
    x = 6,033,765,488,931,508/51,797,557.69
  6. Step 6: Final answer
    x = 116,487,451.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.