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Finding the Third Proportional to 496,585,145.25 and 1,064,467,856.25

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Solution

The third proportional to 496,585,145.25 and 1,064,467,856.25 is: 2,281,767,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,585,145.25 : 1,064,467,856.25 = 1,064,467,856.25 : x
  2. Step 2: Convert to fraction form
    496,585,145.25/1,064,467,856.25 = 1,064,467,856.25/x
  3. Step 3: Cross multiply
    496,585,145.25x = 1,064,467,856.25 × 1,064,467,856.25
  4. Step 4: Simplify right side
    496,585,145.25x = 1,133,091,816,989,470,720
  5. Step 5: Solve for x
    x = 1,133,091,816,989,470,720/496,585,145.25
  6. Step 6: Final answer
    x = 2,281,767,442.76

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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.