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Finding the Third Proportional to 228,654,024 and 486,803,472

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Solution

The third proportional to 228,654,024 and 486,803,472 is: 1,036,402,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,654,024 : 486,803,472 = 486,803,472 : x
  2. Step 2: Convert to fraction form
    228,654,024/486,803,472 = 486,803,472/x
  3. Step 3: Cross multiply
    228,654,024x = 486,803,472 × 486,803,472
  4. Step 4: Simplify right side
    228,654,024x = 236,977,620,351,254,784
  5. Step 5: Solve for x
    x = 236,977,620,351,254,784/228,654,024
  6. Step 6: Final answer
    x = 1,036,402,579.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.