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Finding the Third Proportional to 57,984,962 and 81,109,618

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Solution

The third proportional to 57,984,962 and 81,109,618 is: 113,456,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,962 : 81,109,618 = 81,109,618 : x
  2. Step 2: Convert to fraction form
    57,984,962/81,109,618 = 81,109,618/x
  3. Step 3: Cross multiply
    57,984,962x = 81,109,618 × 81,109,618
  4. Step 4: Simplify right side
    57,984,962x = 6,578,770,132,105,924
  5. Step 5: Solve for x
    x = 6,578,770,132,105,924/57,984,962
  6. Step 6: Final answer
    x = 113,456,487.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.