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Finding the Third Proportional to 1,362,799,102 and 2,958,184,081

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Solution

The third proportional to 1,362,799,102 and 2,958,184,081 is: 6,421,234,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,799,102 : 2,958,184,081 = 2,958,184,081 : x
  2. Step 2: Convert to fraction form
    1,362,799,102/2,958,184,081 = 2,958,184,081/x
  3. Step 3: Cross multiply
    1,362,799,102x = 2,958,184,081 × 2,958,184,081
  4. Step 4: Simplify right side
    1,362,799,102x = 8,750,853,057,081,815,040
  5. Step 5: Solve for x
    x = 8,750,853,057,081,815,040/1,362,799,102
  6. Step 6: Final answer
    x = 6,421,234,827.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.