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Finding the Third Proportional to 478,633,015.25 and 1,024,502,593.25

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Solution

The third proportional to 478,633,015.25 and 1,024,502,593.25 is: 2,192,923,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,633,015.25 : 1,024,502,593.25 = 1,024,502,593.25 : x
  2. Step 2: Convert to fraction form
    478,633,015.25/1,024,502,593.25 = 1,024,502,593.25/x
  3. Step 3: Cross multiply
    478,633,015.25x = 1,024,502,593.25 × 1,024,502,593.25
  4. Step 4: Simplify right side
    478,633,015.25x = 1,049,605,563,575,974,912
  5. Step 5: Solve for x
    x = 1,049,605,563,575,974,912/478,633,015.25
  6. Step 6: Final answer
    x = 2,192,923,451.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.