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Finding the Third Proportional to 1,921,555,830 and 4,195,457,772

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Solution

The third proportional to 1,921,555,830 and 4,195,457,772 is: 9,160,215,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,555,830 : 4,195,457,772 = 4,195,457,772 : x
  2. Step 2: Convert to fraction form
    1,921,555,830/4,195,457,772 = 4,195,457,772/x
  3. Step 3: Cross multiply
    1,921,555,830x = 4,195,457,772 × 4,195,457,772
  4. Step 4: Simplify right side
    1,921,555,830x = 17,601,865,916,635,203,584
  5. Step 5: Solve for x
    x = 17,601,865,916,635,203,584/1,921,555,830
  6. Step 6: Final answer
    x = 9,160,215,717.82

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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.