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Finding the Third Proportional to 27,599,841,558 and 45,063,284,769

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Solution

The third proportional to 27,599,841,558 and 45,063,284,769 is: 73,576,496,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599,841,558 : 45,063,284,769 = 45,063,284,769 : x
  2. Step 2: Convert to fraction form
    27,599,841,558/45,063,284,769 = 45,063,284,769/x
  3. Step 3: Cross multiply
    27,599,841,558x = 45,063,284,769 × 45,063,284,769
  4. Step 4: Simplify right side
    27,599,841,558x = 2,030,699,634,171,987,361,792
  5. Step 5: Solve for x
    x = 2,030,699,634,171,987,361,792/27,599,841,558
  6. Step 6: Final answer
    x = 73,576,496,078.96

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.