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Finding the Third Proportional to 19,876,174 and 29,835,298

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Solution

The third proportional to 19,876,174 and 29,835,298 is: 44,784,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876,174 : 29,835,298 = 29,835,298 : x
  2. Step 2: Convert to fraction form
    19,876,174/29,835,298 = 29,835,298/x
  3. Step 3: Cross multiply
    19,876,174x = 29,835,298 × 29,835,298
  4. Step 4: Simplify right side
    19,876,174x = 890,145,006,748,804
  5. Step 5: Solve for x
    x = 890,145,006,748,804/19,876,174
  6. Step 6: Final answer
    x = 44,784,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.