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Finding the Third Proportional to 82,771,762 and 175,628,997

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Solution

The third proportional to 82,771,762 and 175,628,997 is: 372,657,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,771,762 : 175,628,997 = 175,628,997 : x
  2. Step 2: Convert to fraction form
    82,771,762/175,628,997 = 175,628,997/x
  3. Step 3: Cross multiply
    82,771,762x = 175,628,997 × 175,628,997
  4. Step 4: Simplify right side
    82,771,762x = 30,845,544,587,226,008
  5. Step 5: Solve for x
    x = 30,845,544,587,226,008/82,771,762
  6. Step 6: Final answer
    x = 372,657,822.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.