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Finding the Third Proportional to 11,568,952,417.50 and 16,291,634,307

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Solution

The third proportional to 11,568,952,417.50 and 16,291,634,307 is: 22,942,211,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568,952,417.50 : 16,291,634,307 = 16,291,634,307 : x
  2. Step 2: Convert to fraction form
    11,568,952,417.50/16,291,634,307 = 16,291,634,307/x
  3. Step 3: Cross multiply
    11,568,952,417.50x = 16,291,634,307 × 16,291,634,307
  4. Step 4: Simplify right side
    11,568,952,417.50x = 265,417,348,393,019,375,616
  5. Step 5: Solve for x
    x = 265,417,348,393,019,375,616/11,568,952,417.50
  6. Step 6: Final answer
    x = 22,942,211,084.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.