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Finding the Third Proportional to 2,095,521,414 and 3,220,966,566

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Solution

The third proportional to 2,095,521,414 and 3,220,966,566 is: 4,950,856,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,521,414 : 3,220,966,566 = 3,220,966,566 : x
  2. Step 2: Convert to fraction form
    2,095,521,414/3,220,966,566 = 3,220,966,566/x
  3. Step 3: Cross multiply
    2,095,521,414x = 3,220,966,566 × 3,220,966,566
  4. Step 4: Simplify right side
    2,095,521,414x = 10,374,625,619,289,831,424
  5. Step 5: Solve for x
    x = 10,374,625,619,289,831,424/2,095,521,414
  6. Step 6: Final answer
    x = 4,950,856,407.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.