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Finding the Third Proportional to 1,581,972,066 and 3,343,305,102

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Solution

The third proportional to 1,581,972,066 and 3,343,305,102 is: 7,065,667,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,972,066 : 3,343,305,102 = 3,343,305,102 : x
  2. Step 2: Convert to fraction form
    1,581,972,066/3,343,305,102 = 3,343,305,102/x
  3. Step 3: Cross multiply
    1,581,972,066x = 3,343,305,102 × 3,343,305,102
  4. Step 4: Simplify right side
    1,581,972,066x = 11,177,689,005,059,229,696
  5. Step 5: Solve for x
    x = 11,177,689,005,059,229,696/1,581,972,066
  6. Step 6: Final answer
    x = 7,065,667,748.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.