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Finding the Third Proportional to 9,565,663,063.50 and 13,464,691,600.50

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Solution

The third proportional to 9,565,663,063.50 and 13,464,691,600.50 is: 18,952,990,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565,663,063.50 : 13,464,691,600.50 = 13,464,691,600.50 : x
  2. Step 2: Convert to fraction form
    9,565,663,063.50/13,464,691,600.50 = 13,464,691,600.50/x
  3. Step 3: Cross multiply
    9,565,663,063.50x = 13,464,691,600.50 × 13,464,691,600.50
  4. Step 4: Simplify right side
    9,565,663,063.50x = 181,297,919,896,575,246,336
  5. Step 5: Solve for x
    x = 181,297,919,896,575,246,336/9,565,663,063.50
  6. Step 6: Final answer
    x = 18,952,990,367.01

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