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Finding the Third Proportional to 1,437,664,437 and 2,054,459,874

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Solution

The third proportional to 1,437,664,437 and 2,054,459,874 is: 2,935,876,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,664,437 : 2,054,459,874 = 2,054,459,874 : x
  2. Step 2: Convert to fraction form
    1,437,664,437/2,054,459,874 = 2,054,459,874/x
  3. Step 3: Cross multiply
    1,437,664,437x = 2,054,459,874 × 2,054,459,874
  4. Step 4: Simplify right side
    1,437,664,437x = 4,220,805,373,876,096,000
  5. Step 5: Solve for x
    x = 4,220,805,373,876,096,000/1,437,664,437
  6. Step 6: Final answer
    x = 2,935,876,596.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.