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Finding the Third Proportional to 27,599,841,576 and 45,063,284,796

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Solution

The third proportional to 27,599,841,576 and 45,063,284,796 is: 73,576,496,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,599,841,576 : 45,063,284,796 = 45,063,284,796 : x
  2. Step 2: Convert to fraction form
    27,599,841,576/45,063,284,796 = 45,063,284,796/x
  3. Step 3: Cross multiply
    27,599,841,576x = 45,063,284,796 × 45,063,284,796
  4. Step 4: Simplify right side
    27,599,841,576x = 2,030,699,636,605,404,839,936
  5. Step 5: Solve for x
    x = 2,030,699,636,605,404,839,936/27,599,841,576
  6. Step 6: Final answer
    x = 73,576,496,119.14

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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.