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Finding the Third Proportional to 798,414,141 and 1,747,341,417

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Solution

The third proportional to 798,414,141 and 1,747,341,417 is: 3,824,083,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,414,141 : 1,747,341,417 = 1,747,341,417 : x
  2. Step 2: Convert to fraction form
    798,414,141/1,747,341,417 = 1,747,341,417/x
  3. Step 3: Cross multiply
    798,414,141x = 1,747,341,417 × 1,747,341,417
  4. Step 4: Simplify right side
    798,414,141x = 3,053,202,027,563,568,128
  5. Step 5: Solve for x
    x = 3,053,202,027,563,568,128/798,414,141
  6. Step 6: Final answer
    x = 3,824,083,105.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.