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Finding the Third Proportional to 58,998,271,410 and 129,764,440,170

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Solution

The third proportional to 58,998,271,410 and 129,764,440,170 is: 285,411,920,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,998,271,410 : 129,764,440,170 = 129,764,440,170 : x
  2. Step 2: Convert to fraction form
    58,998,271,410/129,764,440,170 = 129,764,440,170/x
  3. Step 3: Cross multiply
    58,998,271,410x = 129,764,440,170 × 129,764,440,170
  4. Step 4: Simplify right side
    58,998,271,410x = 16,838,809,932,633,508,675,584
  5. Step 5: Solve for x
    x = 16,838,809,932,633,508,675,584/58,998,271,410
  6. Step 6: Final answer
    x = 285,411,920,217.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.