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Finding the Third Proportional to 34,953,998 and 54,271,317

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Solution

The third proportional to 34,953,998 and 54,271,317 is: 84,264,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,953,998 : 54,271,317 = 54,271,317 : x
  2. Step 2: Convert to fraction form
    34,953,998/54,271,317 = 54,271,317/x
  3. Step 3: Cross multiply
    34,953,998x = 54,271,317 × 54,271,317
  4. Step 4: Simplify right side
    34,953,998x = 2,945,375,848,914,489
  5. Step 5: Solve for x
    x = 2,945,375,848,914,489/34,953,998
  6. Step 6: Final answer
    x = 84,264,347.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.