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Finding the Third Proportional to 10,518,544,006,775 and 22,620,092,717,128

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Solution

The third proportional to 10,518,544,006,775 and 22,620,092,717,128 is: 48,644,431,605,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518,544,006,775 : 22,620,092,717,128 = 22,620,092,717,128 : x
  2. Step 2: Convert to fraction form
    10,518,544,006,775/22,620,092,717,128 = 22,620,092,717,128/x
  3. Step 3: Cross multiply
    10,518,544,006,775x = 22,620,092,717,128 × 22,620,092,717,128
  4. Step 4: Simplify right side
    10,518,544,006,775x = 511,668,594,531,467,157,313,683,456
  5. Step 5: Solve for x
    x = 511,668,594,531,467,157,313,683,456/10,518,544,006,775
  6. Step 6: Final answer
    x = 48,644,431,605,923.89

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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.