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Finding the Third Proportional to 207,626,568 and 490,122,360

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Solution

The third proportional to 207,626,568 and 490,122,360 is: 1,156,980,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,626,568 : 490,122,360 = 490,122,360 : x
  2. Step 2: Convert to fraction form
    207,626,568/490,122,360 = 490,122,360/x
  3. Step 3: Cross multiply
    207,626,568x = 490,122,360 × 490,122,360
  4. Step 4: Simplify right side
    207,626,568x = 240,219,927,771,969,600
  5. Step 5: Solve for x
    x = 240,219,927,771,969,600/207,626,568
  6. Step 6: Final answer
    x = 1,156,980,679.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.