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Finding the Third Proportional to 9,565,663,078 and 13,464,691,623

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Solution

The third proportional to 9,565,663,078 and 13,464,691,623 is: 18,952,990,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565,663,078 : 13,464,691,623 = 13,464,691,623 : x
  2. Step 2: Convert to fraction form
    9,565,663,078/13,464,691,623 = 13,464,691,623/x
  3. Step 3: Cross multiply
    9,565,663,078x = 13,464,691,623 × 13,464,691,623
  4. Step 4: Simplify right side
    9,565,663,078x = 181,297,920,502,486,368,256
  5. Step 5: Solve for x
    x = 181,297,920,502,486,368,256/9,565,663,078
  6. Step 6: Final answer
    x = 18,952,990,401.62

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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.