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Finding the Third Proportional to 1,437,664,449 and 2,054,459,892

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Solution

The third proportional to 1,437,664,449 and 2,054,459,892 is: 2,935,876,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,664,449 : 2,054,459,892 = 2,054,459,892 : x
  2. Step 2: Convert to fraction form
    1,437,664,449/2,054,459,892 = 2,054,459,892/x
  3. Step 3: Cross multiply
    1,437,664,449x = 2,054,459,892 × 2,054,459,892
  4. Step 4: Simplify right side
    1,437,664,449x = 4,220,805,447,836,651,520
  5. Step 5: Solve for x
    x = 4,220,805,447,836,651,520/1,437,664,449
  6. Step 6: Final answer
    x = 2,935,876,623.21

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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.