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Finding the Third Proportional to 561,453,764 and 1,252,003,942

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Solution

The third proportional to 561,453,764 and 1,252,003,942 is: 2,791,884,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,453,764 : 1,252,003,942 = 1,252,003,942 : x
  2. Step 2: Convert to fraction form
    561,453,764/1,252,003,942 = 1,252,003,942/x
  3. Step 3: Cross multiply
    561,453,764x = 1,252,003,942 × 1,252,003,942
  4. Step 4: Simplify right side
    561,453,764x = 1,567,513,870,783,539,456
  5. Step 5: Solve for x
    x = 1,567,513,870,783,539,456/561,453,764
  6. Step 6: Final answer
    x = 2,791,884,160.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.