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Finding the Third Proportional to 2,006,148,820 and 3,098,662,206

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Solution

The third proportional to 2,006,148,820 and 3,098,662,206 is: 4,786,139,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,148,820 : 3,098,662,206 = 3,098,662,206 : x
  2. Step 2: Convert to fraction form
    2,006,148,820/3,098,662,206 = 3,098,662,206/x
  3. Step 3: Cross multiply
    2,006,148,820x = 3,098,662,206 × 3,098,662,206
  4. Step 4: Simplify right side
    2,006,148,820x = 9,601,707,466,892,785,664
  5. Step 5: Solve for x
    x = 9,601,707,466,892,785,664/2,006,148,820
  6. Step 6: Final answer
    x = 4,786,139,179.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.