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Finding the Third Proportional to 15,792,009,216 and 24,531,410,616

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Solution

The third proportional to 15,792,009,216 and 24,531,410,616 is: 38,107,254,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792,009,216 : 24,531,410,616 = 24,531,410,616 : x
  2. Step 2: Convert to fraction form
    15,792,009,216/24,531,410,616 = 24,531,410,616/x
  3. Step 3: Cross multiply
    15,792,009,216x = 24,531,410,616 × 24,531,410,616
  4. Step 4: Simplify right side
    15,792,009,216x = 601,790,106,810,797,522,944
  5. Step 5: Solve for x
    x = 601,790,106,810,797,522,944/15,792,009,216
  6. Step 6: Final answer
    x = 38,107,254,028.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.