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Finding the Third Proportional to 1,755,280,131 and 3,655,843,767

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Solution

The third proportional to 1,755,280,131 and 3,655,843,767 is: 7,614,279,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,280,131 : 3,655,843,767 = 3,655,843,767 : x
  2. Step 2: Convert to fraction form
    1,755,280,131/3,655,843,767 = 3,655,843,767/x
  3. Step 3: Cross multiply
    1,755,280,131x = 3,655,843,767 × 3,655,843,767
  4. Step 4: Simplify right side
    1,755,280,131x = 13,365,193,648,712,751,104
  5. Step 5: Solve for x
    x = 13,365,193,648,712,751,104/1,755,280,131
  6. Step 6: Final answer
    x = 7,614,279,574.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.