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Finding the Third Proportional to 5,336,992,584,445.50 and 7,515,661,615,782.80

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Solution

The third proportional to 5,336,992,584,445.50 and 7,515,661,615,782.80 is: 10,583,707,702,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336,992,584,445.50 : 7,515,661,615,782.80 = 7,515,661,615,782.80 : x
  2. Step 2: Convert to fraction form
    5,336,992,584,445.50/7,515,661,615,782.80 = 7,515,661,615,782.80/x
  3. Step 3: Cross multiply
    5,336,992,584,445.50x = 7,515,661,615,782.80 × 7,515,661,615,782.80
  4. Step 4: Simplify right side
    5,336,992,584,445.50x = 56,485,169,522,950,925,172,342,784
  5. Step 5: Solve for x
    x = 56,485,169,522,950,925,172,342,784/5,336,992,584,445.50
  6. Step 6: Final answer
    x = 10,583,707,702,269.48

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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.