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Finding the Third Proportional to 2,630,515,078 and 5,724,106,772

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Solution

The third proportional to 2,630,515,078 and 5,724,106,772 is: 12,455,886,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630,515,078 : 5,724,106,772 = 5,724,106,772 : x
  2. Step 2: Convert to fraction form
    2,630,515,078/5,724,106,772 = 5,724,106,772/x
  3. Step 3: Cross multiply
    2,630,515,078x = 5,724,106,772 × 5,724,106,772
  4. Step 4: Simplify right side
    2,630,515,078x = 32,765,398,337,256,259,584
  5. Step 5: Solve for x
    x = 32,765,398,337,256,259,584/2,630,515,078
  6. Step 6: Final answer
    x = 12,455,886,914.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.