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Finding the Third Proportional to 2,139,982,106 and 3,013,566,375

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Solution

The third proportional to 2,139,982,106 and 3,013,566,375 is: 4,243,765,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,982,106 : 3,013,566,375 = 3,013,566,375 : x
  2. Step 2: Convert to fraction form
    2,139,982,106/3,013,566,375 = 3,013,566,375/x
  3. Step 3: Cross multiply
    2,139,982,106x = 3,013,566,375 × 3,013,566,375
  4. Step 4: Simplify right side
    2,139,982,106x = 9,081,582,296,530,640,896
  5. Step 5: Solve for x
    x = 9,081,582,296,530,640,896/2,139,982,106
  6. Step 6: Final answer
    x = 4,243,765,530.13

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.