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Finding the Third Proportional to 2,006,457,536 and 4,195,863,562

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Solution

The third proportional to 2,006,457,536 and 4,195,863,562 is: 8,774,305,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,457,536 : 4,195,863,562 = 4,195,863,562 : x
  2. Step 2: Convert to fraction form
    2,006,457,536/4,195,863,562 = 4,195,863,562/x
  3. Step 3: Cross multiply
    2,006,457,536x = 4,195,863,562 × 4,195,863,562
  4. Step 4: Simplify right side
    2,006,457,536x = 17,605,271,030,919,327,744
  5. Step 5: Solve for x
    x = 17,605,271,030,919,327,744/2,006,457,536
  6. Step 6: Final answer
    x = 8,774,305,319.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.