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Finding the Third Proportional to 76,842,495,605.25 and 114,811,751,914.74

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Solution

The third proportional to 76,842,495,605.25 and 114,811,751,914.74 is: 171,542,299,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842,495,605.25 : 114,811,751,914.74 = 114,811,751,914.74 : x
  2. Step 2: Convert to fraction form
    76,842,495,605.25/114,811,751,914.74 = 114,811,751,914.74/x
  3. Step 3: Cross multiply
    76,842,495,605.25x = 114,811,751,914.74 × 114,811,751,914.74
  4. Step 4: Simplify right side
    76,842,495,605.25x = 13,181,738,377,731,805,020,160
  5. Step 5: Solve for x
    x = 13,181,738,377,731,805,020,160/76,842,495,605.25
  6. Step 6: Final answer
    x = 171,542,299,269.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.