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Finding the Third Proportional to 7,970,853 and 12,689,349

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Solution

The third proportional to 7,970,853 and 12,689,349 is: 20,201,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,853 : 12,689,349 = 12,689,349 : x
  2. Step 2: Convert to fraction form
    7,970,853/12,689,349 = 12,689,349/x
  3. Step 3: Cross multiply
    7,970,853x = 12,689,349 × 12,689,349
  4. Step 4: Simplify right side
    7,970,853x = 161,019,578,043,801
  5. Step 5: Solve for x
    x = 161,019,578,043,801/7,970,853
  6. Step 6: Final answer
    x = 20,201,047.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.