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Finding the Third Proportional to 34,545,002,664 and 53,074,579,008

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Solution

The third proportional to 34,545,002,664 and 53,074,579,008 is: 81,543,225,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,545,002,664 : 53,074,579,008 = 53,074,579,008 : x
  2. Step 2: Convert to fraction form
    34,545,002,664/53,074,579,008 = 53,074,579,008/x
  3. Step 3: Cross multiply
    34,545,002,664x = 53,074,579,008 × 53,074,579,008
  4. Step 4: Simplify right side
    34,545,002,664x = 2,816,910,936,876,434,063,360
  5. Step 5: Solve for x
    x = 2,816,910,936,876,434,063,360/34,545,002,664
  6. Step 6: Final answer
    x = 81,543,225,347.96

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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.