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Finding the Third Proportional to 777,485,342,598 and 1,211,684,021,145

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Solution

The third proportional to 777,485,342,598 and 1,211,684,021,145 is: 1,888,367,647,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,485,342,598 : 1,211,684,021,145 = 1,211,684,021,145 : x
  2. Step 2: Convert to fraction form
    777,485,342,598/1,211,684,021,145 = 1,211,684,021,145/x
  3. Step 3: Cross multiply
    777,485,342,598x = 1,211,684,021,145 × 1,211,684,021,145
  4. Step 4: Simplify right side
    777,485,342,598x = 1,468,178,167,098,116,673,634,304
  5. Step 5: Solve for x
    x = 1,468,178,167,098,116,673,634,304/777,485,342,598
  6. Step 6: Final answer
    x = 1,888,367,647,153.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.