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Finding the Third Proportional to 2,190,849,576 and 5,166,631,558

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Solution

The third proportional to 2,190,849,576 and 5,166,631,558 is: 12,184,351,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,849,576 : 5,166,631,558 = 5,166,631,558 : x
  2. Step 2: Convert to fraction form
    2,190,849,576/5,166,631,558 = 5,166,631,558/x
  3. Step 3: Cross multiply
    2,190,849,576x = 5,166,631,558 × 5,166,631,558
  4. Step 4: Simplify right side
    2,190,849,576x = 26,694,081,656,121,507,840
  5. Step 5: Solve for x
    x = 26,694,081,656,121,507,840/2,190,849,576
  6. Step 6: Final answer
    x = 12,184,351,654.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.