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Finding the Third Proportional to 39,987,475,699 and 83,284,691,242

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Solution

The third proportional to 39,987,475,699 and 83,284,691,242 is: 173,462,807,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,987,475,699 : 83,284,691,242 = 83,284,691,242 : x
  2. Step 2: Convert to fraction form
    39,987,475,699/83,284,691,242 = 83,284,691,242/x
  3. Step 3: Cross multiply
    39,987,475,699x = 83,284,691,242 × 83,284,691,242
  4. Step 4: Simplify right side
    39,987,475,699x = 6,936,339,795,275,271,897,088
  5. Step 5: Solve for x
    x = 6,936,339,795,275,271,897,088/39,987,475,699
  6. Step 6: Final answer
    x = 173,462,807,392.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.