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Finding the Third Proportional to 59,120,647,312 and 122,431,972,952

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Solution

The third proportional to 59,120,647,312 and 122,431,972,952 is: 253,542,352,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,120,647,312 : 122,431,972,952 = 122,431,972,952 : x
  2. Step 2: Convert to fraction form
    59,120,647,312/122,431,972,952 = 122,431,972,952/x
  3. Step 3: Cross multiply
    59,120,647,312x = 122,431,972,952 × 122,431,972,952
  4. Step 4: Simplify right side
    59,120,647,312x = 14,989,588,000,919,259,185,152
  5. Step 5: Solve for x
    x = 14,989,588,000,919,259,185,152/59,120,647,312
  6. Step 6: Final answer
    x = 253,542,352,501.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.