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Finding the Third Proportional to 5,897,784,016 and 12,670,828,288

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Solution

The third proportional to 5,897,784,016 and 12,670,828,288 is: 27,222,070,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897,784,016 : 12,670,828,288 = 12,670,828,288 : x
  2. Step 2: Convert to fraction form
    5,897,784,016/12,670,828,288 = 12,670,828,288/x
  3. Step 3: Cross multiply
    5,897,784,016x = 12,670,828,288 × 12,670,828,288
  4. Step 4: Simplify right side
    5,897,784,016x = 160,549,889,503,981,010,944
  5. Step 5: Solve for x
    x = 160,549,889,503,981,010,944/5,897,784,016
  6. Step 6: Final answer
    x = 27,222,070,029.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.