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Finding the Third Proportional to 1,972,886,061 and 4,293,079,629

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Solution

The third proportional to 1,972,886,061 and 4,293,079,629 is: 9,341,914,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972,886,061 : 4,293,079,629 = 4,293,079,629 : x
  2. Step 2: Convert to fraction form
    1,972,886,061/4,293,079,629 = 4,293,079,629/x
  3. Step 3: Cross multiply
    1,972,886,061x = 4,293,079,629 × 4,293,079,629
  4. Step 4: Simplify right side
    1,972,886,061x = 18,430,532,700,934,776,832
  5. Step 5: Solve for x
    x = 18,430,532,700,934,776,832/1,972,886,061
  6. Step 6: Final answer
    x = 9,341,914,399.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.