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Finding the Third Proportional to 344,418,967 and 531,854,103

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Solution

The third proportional to 344,418,967 and 531,854,103 is: 821,292,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,418,967 : 531,854,103 = 531,854,103 : x
  2. Step 2: Convert to fraction form
    344,418,967/531,854,103 = 531,854,103/x
  3. Step 3: Cross multiply
    344,418,967x = 531,854,103 × 531,854,103
  4. Step 4: Simplify right side
    344,418,967x = 282,868,786,877,934,624
  5. Step 5: Solve for x
    x = 282,868,786,877,934,624/344,418,967
  6. Step 6: Final answer
    x = 821,292,710.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.