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Finding the Third Proportional to 371,892,852 and 810,747,342

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Solution

The third proportional to 371,892,852 and 810,747,342 is: 1,767,474,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,892,852 : 810,747,342 = 810,747,342 : x
  2. Step 2: Convert to fraction form
    371,892,852/810,747,342 = 810,747,342/x
  3. Step 3: Cross multiply
    371,892,852x = 810,747,342 × 810,747,342
  4. Step 4: Simplify right side
    371,892,852x = 657,311,252,560,065,024
  5. Step 5: Solve for x
    x = 657,311,252,560,065,024/371,892,852
  6. Step 6: Final answer
    x = 1,767,474,822.45

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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.