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Finding the Third Proportional to 76,525,308,798.75 and 107,717,538,727.13

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Solution

The third proportional to 76,525,308,798.75 and 107,717,538,727.13 is: 151,623,931,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,525,308,798.75 : 107,717,538,727.13 = 107,717,538,727.13 : x
  2. Step 2: Convert to fraction form
    76,525,308,798.75/107,717,538,727.13 = 107,717,538,727.13/x
  3. Step 3: Cross multiply
    76,525,308,798.75x = 107,717,538,727.13 × 107,717,538,727.13
  4. Step 4: Simplify right side
    76,525,308,798.75x = 11,603,068,149,430,753,427,456
  5. Step 5: Solve for x
    x = 11,603,068,149,430,753,427,456/76,525,308,798.75
  6. Step 6: Final answer
    x = 151,623,931,109.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.