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Finding the Third Proportional to 124,628,769 and 288,493,032

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Solution

The third proportional to 124,628,769 and 288,493,032 is: 667,809,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,769 : 288,493,032 = 288,493,032 : x
  2. Step 2: Convert to fraction form
    124,628,769/288,493,032 = 288,493,032/x
  3. Step 3: Cross multiply
    124,628,769x = 288,493,032 × 288,493,032
  4. Step 4: Simplify right side
    124,628,769x = 83,228,229,512,553,024
  5. Step 5: Solve for x
    x = 83,228,229,512,553,024/124,628,769
  6. Step 6: Final answer
    x = 667,809,127.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.