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Finding the Third Proportional to 805,100,352 and 1,755,946,760

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Solution

The third proportional to 805,100,352 and 1,755,946,760 is: 3,829,769,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,100,352 : 1,755,946,760 = 1,755,946,760 : x
  2. Step 2: Convert to fraction form
    805,100,352/1,755,946,760 = 1,755,946,760/x
  3. Step 3: Cross multiply
    805,100,352x = 1,755,946,760 × 1,755,946,760
  4. Step 4: Simplify right side
    805,100,352x = 3,083,349,023,954,497,536
  5. Step 5: Solve for x
    x = 3,083,349,023,954,497,536/805,100,352
  6. Step 6: Final answer
    x = 3,829,769,812.29

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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.