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Finding the Third Proportional to 561,562,640.70 and 876,339,923.51

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Solution

The third proportional to 561,562,640.70 and 876,339,923.51 is: 1,367,561,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,562,640.70 : 876,339,923.51 = 876,339,923.51 : x
  2. Step 2: Convert to fraction form
    561,562,640.70/876,339,923.51 = 876,339,923.51/x
  3. Step 3: Cross multiply
    561,562,640.70x = 876,339,923.51 × 876,339,923.51
  4. Step 4: Simplify right side
    561,562,640.70x = 767,971,661,538,739,456
  5. Step 5: Solve for x
    x = 767,971,661,538,739,456/561,562,640.70
  6. Step 6: Final answer
    x = 1,367,561,881.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.