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Finding the Third Proportional to 58,115,515,544 and 90,233,042,324

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Solution

The third proportional to 58,115,515,544 and 90,233,042,324 is: 140,100,313,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,115,515,544 : 90,233,042,324 = 90,233,042,324 : x
  2. Step 2: Convert to fraction form
    58,115,515,544/90,233,042,324 = 90,233,042,324/x
  3. Step 3: Cross multiply
    58,115,515,544x = 90,233,042,324 × 90,233,042,324
  4. Step 4: Simplify right side
    58,115,515,544x = 8,142,001,927,044,775,018,496
  5. Step 5: Solve for x
    x = 8,142,001,927,044,775,018,496/58,115,515,544
  6. Step 6: Final answer
    x = 140,100,313,157.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.