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Finding the Third Proportional to 260,644,896 and 382,446,438

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Solution

The third proportional to 260,644,896 and 382,446,438 is: 561,166,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,644,896 : 382,446,438 = 382,446,438 : x
  2. Step 2: Convert to fraction form
    260,644,896/382,446,438 = 382,446,438/x
  3. Step 3: Cross multiply
    260,644,896x = 382,446,438 × 382,446,438
  4. Step 4: Simplify right side
    260,644,896x = 146,265,277,938,887,840
  5. Step 5: Solve for x
    x = 146,265,277,938,887,840/260,644,896
  6. Step 6: Final answer
    x = 561,166,860.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.