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Finding the Third Proportional to 2,499,376,158,822 and 3,823,765,679,182.50

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Solution

The third proportional to 2,499,376,158,822 and 3,823,765,679,182.50 is: 5,849,933,359,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499,376,158,822 : 3,823,765,679,182.50 = 3,823,765,679,182.50 : x
  2. Step 2: Convert to fraction form
    2,499,376,158,822/3,823,765,679,182.50 = 3,823,765,679,182.50/x
  3. Step 3: Cross multiply
    2,499,376,158,822x = 3,823,765,679,182.50 × 3,823,765,679,182.50
  4. Step 4: Simplify right side
    2,499,376,158,822x = 14,621,183,969,294,004,672,004,096
  5. Step 5: Solve for x
    x = 14,621,183,969,294,004,672,004,096/2,499,376,158,822
  6. Step 6: Final answer
    x = 5,849,933,359,444.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.