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Finding the Third Proportional to 1,790,471,046 and 3,853,039,966

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Solution

The third proportional to 1,790,471,046 and 3,853,039,966 is: 8,291,626,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790,471,046 : 3,853,039,966 = 3,853,039,966 : x
  2. Step 2: Convert to fraction form
    1,790,471,046/3,853,039,966 = 3,853,039,966/x
  3. Step 3: Cross multiply
    1,790,471,046x = 3,853,039,966 × 3,853,039,966
  4. Step 4: Simplify right side
    1,790,471,046x = 14,845,916,979,593,281,536
  5. Step 5: Solve for x
    x = 14,845,916,979,593,281,536/1,790,471,046
  6. Step 6: Final answer
    x = 8,291,626,392.26

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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.