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Finding the Third Proportional to 483,610,020.75 and 1,049,327,669.25

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Solution

The third proportional to 483,610,020.75 and 1,049,327,669.25 is: 2,276,810,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,610,020.75 : 1,049,327,669.25 = 1,049,327,669.25 : x
  2. Step 2: Convert to fraction form
    483,610,020.75/1,049,327,669.25 = 1,049,327,669.25/x
  3. Step 3: Cross multiply
    483,610,020.75x = 1,049,327,669.25 × 1,049,327,669.25
  4. Step 4: Simplify right side
    483,610,020.75x = 1,101,088,557,453,637,376
  5. Step 5: Solve for x
    x = 1,101,088,557,453,637,376/483,610,020.75
  6. Step 6: Final answer
    x = 2,276,810,881.10

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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.