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Finding the Third Proportional to 7,570,854,198 and 16,566,501,729

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Solution

The third proportional to 7,570,854,198 and 16,566,501,729 is: 36,250,728,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,854,198 : 16,566,501,729 = 16,566,501,729 : x
  2. Step 2: Convert to fraction form
    7,570,854,198/16,566,501,729 = 16,566,501,729/x
  3. Step 3: Cross multiply
    7,570,854,198x = 16,566,501,729 × 16,566,501,729
  4. Step 4: Simplify right side
    7,570,854,198x = 274,448,979,536,959,995,904
  5. Step 5: Solve for x
    x = 274,448,979,536,959,995,904/7,570,854,198
  6. Step 6: Final answer
    x = 36,250,728,432.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.