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Finding the Third Proportional to 1,790,471,042 and 3,853,039,957

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Solution

The third proportional to 1,790,471,042 and 3,853,039,957 is: 8,291,626,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790,471,042 : 3,853,039,957 = 3,853,039,957 : x
  2. Step 2: Convert to fraction form
    1,790,471,042/3,853,039,957 = 3,853,039,957/x
  3. Step 3: Cross multiply
    1,790,471,042x = 3,853,039,957 × 3,853,039,957
  4. Step 4: Simplify right side
    1,790,471,042x = 14,845,916,910,238,562,304
  5. Step 5: Solve for x
    x = 14,845,916,910,238,562,304/1,790,471,042
  6. Step 6: Final answer
    x = 8,291,626,372.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.