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Finding the Third Proportional to 12,294,398 and 19,753,797

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Solution

The third proportional to 12,294,398 and 19,753,797 is: 31,739,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,398 : 19,753,797 = 19,753,797 : x
  2. Step 2: Convert to fraction form
    12,294,398/19,753,797 = 19,753,797/x
  3. Step 3: Cross multiply
    12,294,398x = 19,753,797 × 19,753,797
  4. Step 4: Simplify right side
    12,294,398x = 390,212,495,917,209
  5. Step 5: Solve for x
    x = 390,212,495,917,209/12,294,398
  6. Step 6: Final answer
    x = 31,739,048.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.