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Finding the Third Proportional to 37,345,323,013 and 57,366,984,122

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Solution

The third proportional to 37,345,323,013 and 57,366,984,122 is: 88,122,704,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,345,323,013 : 57,366,984,122 = 57,366,984,122 : x
  2. Step 2: Convert to fraction form
    37,345,323,013/57,366,984,122 = 57,366,984,122/x
  3. Step 3: Cross multiply
    37,345,323,013x = 57,366,984,122 × 57,366,984,122
  4. Step 4: Simplify right side
    37,345,323,013x = 3,290,970,867,253,800,075,264
  5. Step 5: Solve for x
    x = 3,290,970,867,253,800,075,264/37,345,323,013
  6. Step 6: Final answer
    x = 88,122,704,578.25

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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.