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Finding the Third Proportional to 124,628,765 and 288,493,025

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Solution

The third proportional to 124,628,765 and 288,493,025 is: 667,809,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,765 : 288,493,025 = 288,493,025 : x
  2. Step 2: Convert to fraction form
    124,628,765/288,493,025 = 288,493,025/x
  3. Step 3: Cross multiply
    124,628,765x = 288,493,025 × 288,493,025
  4. Step 4: Simplify right side
    124,628,765x = 83,228,225,473,650,624
  5. Step 5: Solve for x
    x = 83,228,225,473,650,624/124,628,765
  6. Step 6: Final answer
    x = 667,809,116.73

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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.