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Finding the Third Proportional to 241,515,064 and 530,476,468

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Solution

The third proportional to 241,515,064 and 530,476,468 is: 1,165,166,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,515,064 : 530,476,468 = 530,476,468 : x
  2. Step 2: Convert to fraction form
    241,515,064/530,476,468 = 530,476,468/x
  3. Step 3: Cross multiply
    241,515,064x = 530,476,468 × 530,476,468
  4. Step 4: Simplify right side
    241,515,064x = 281,405,283,101,755,008
  5. Step 5: Solve for x
    x = 281,405,283,101,755,008/241,515,064
  6. Step 6: Final answer
    x = 1,165,166,588.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.