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Finding the Third Proportional to 9,565,663,070 and 13,464,691,608

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Solution

The third proportional to 9,565,663,070 and 13,464,691,608 is: 18,952,990,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565,663,070 : 13,464,691,608 = 13,464,691,608 : x
  2. Step 2: Convert to fraction form
    9,565,663,070/13,464,691,608 = 13,464,691,608/x
  3. Step 3: Cross multiply
    9,565,663,070x = 13,464,691,608 × 13,464,691,608
  4. Step 4: Simplify right side
    9,565,663,070x = 181,297,920,098,545,631,232
  5. Step 5: Solve for x
    x = 181,297,920,098,545,631,232/9,565,663,070
  6. Step 6: Final answer
    x = 18,952,990,375.24

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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.