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Finding the Third Proportional to 12,793,834 and 19,654,942

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Solution

The third proportional to 12,793,834 and 19,654,942 is: 30,195,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793,834 : 19,654,942 = 19,654,942 : x
  2. Step 2: Convert to fraction form
    12,793,834/19,654,942 = 19,654,942/x
  3. Step 3: Cross multiply
    12,793,834x = 19,654,942 × 19,654,942
  4. Step 4: Simplify right side
    12,793,834x = 386,316,745,023,364
  5. Step 5: Solve for x
    x = 386,316,745,023,364/12,793,834
  6. Step 6: Final answer
    x = 30,195,541.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.