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Finding the Third Proportional to 10,192,347 and 21,565,236

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Solution

The third proportional to 10,192,347 and 21,565,236 is: 45,628,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192,347 : 21,565,236 = 21,565,236 : x
  2. Step 2: Convert to fraction form
    10,192,347/21,565,236 = 21,565,236/x
  3. Step 3: Cross multiply
    10,192,347x = 21,565,236 × 21,565,236
  4. Step 4: Simplify right side
    10,192,347x = 465,059,403,735,696
  5. Step 5: Solve for x
    x = 465,059,403,735,696/10,192,347
  6. Step 6: Final answer
    x = 45,628,293.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.