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Finding the Third Proportional to 409,491,854,697.25 and 890,257,955,551.50

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Solution

The third proportional to 409,491,854,697.25 and 890,257,955,551.50 is: 1,935,470,066,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,491,854,697.25 : 890,257,955,551.50 = 890,257,955,551.50 : x
  2. Step 2: Convert to fraction form
    409,491,854,697.25/890,257,955,551.50 = 890,257,955,551.50/x
  3. Step 3: Cross multiply
    409,491,854,697.25x = 890,257,955,551.50 × 890,257,955,551.50
  4. Step 4: Simplify right side
    409,491,854,697.25x = 792,559,227,422,736,612,589,568
  5. Step 5: Solve for x
    x = 792,559,227,422,736,612,589,568/409,491,854,697.25
  6. Step 6: Final answer
    x = 1,935,470,066,941.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.