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Finding the Third Proportional to 1,809,583,618 and 3,904,984,081

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Solution

The third proportional to 1,809,583,618 and 3,904,984,081 is: 8,426,745,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,583,618 : 3,904,984,081 = 3,904,984,081 : x
  2. Step 2: Convert to fraction form
    1,809,583,618/3,904,984,081 = 3,904,984,081/x
  3. Step 3: Cross multiply
    1,809,583,618x = 3,904,984,081 × 3,904,984,081
  4. Step 4: Simplify right side
    1,809,583,618x = 15,248,900,672,863,414,272
  5. Step 5: Solve for x
    x = 15,248,900,672,863,414,272/1,809,583,618
  6. Step 6: Final answer
    x = 8,426,745,534.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.