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Finding the Third Proportional to 271,754,459,182 and 405,275,065,340

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Solution

The third proportional to 271,754,459,182 and 405,275,065,340 is: 604,398,099,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,754,459,182 : 405,275,065,340 = 405,275,065,340 : x
  2. Step 2: Convert to fraction form
    271,754,459,182/405,275,065,340 = 405,275,065,340/x
  3. Step 3: Cross multiply
    271,754,459,182x = 405,275,065,340 × 405,275,065,340
  4. Step 4: Simplify right side
    271,754,459,182x = 164,247,878,586,341,271,797,760
  5. Step 5: Solve for x
    x = 164,247,878,586,341,271,797,760/271,754,459,182
  6. Step 6: Final answer
    x = 604,398,099,228.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.