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Finding the Third Proportional to 35,825,898,708 and 77,741,478,504

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Solution

The third proportional to 35,825,898,708 and 77,741,478,504 is: 168,697,442,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825,898,708 : 77,741,478,504 = 77,741,478,504 : x
  2. Step 2: Convert to fraction form
    35,825,898,708/77,741,478,504 = 77,741,478,504/x
  3. Step 3: Cross multiply
    35,825,898,708x = 77,741,478,504 × 77,741,478,504
  4. Step 4: Simplify right side
    35,825,898,708x = 6,043,737,479,987,894,157,312
  5. Step 5: Solve for x
    x = 6,043,737,479,987,894,157,312/35,825,898,708
  6. Step 6: Final answer
    x = 168,697,442,295.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.