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Finding the Third Proportional to 5,336,992,584,441 and 7,515,661,615,776

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Solution

The third proportional to 5,336,992,584,441 and 7,515,661,615,776 is: 10,583,707,702,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336,992,584,441 : 7,515,661,615,776 = 7,515,661,615,776 : x
  2. Step 2: Convert to fraction form
    5,336,992,584,441/7,515,661,615,776 = 7,515,661,615,776/x
  3. Step 3: Cross multiply
    5,336,992,584,441x = 7,515,661,615,776 × 7,515,661,615,776
  4. Step 4: Simplify right side
    5,336,992,584,441x = 56,485,169,522,848,713,540,632,576
  5. Step 5: Solve for x
    x = 56,485,169,522,848,713,540,632,576/5,336,992,584,441
  6. Step 6: Final answer
    x = 10,583,707,702,259.25

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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.