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Finding the Third Proportional to 227,519,725 and 343,670,654

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Solution

The third proportional to 227,519,725 and 343,670,654 is: 519,117,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,519,725 : 343,670,654 = 343,670,654 : x
  2. Step 2: Convert to fraction form
    227,519,725/343,670,654 = 343,670,654/x
  3. Step 3: Cross multiply
    227,519,725x = 343,670,654 × 343,670,654
  4. Step 4: Simplify right side
    227,519,725x = 118,109,518,420,787,712
  5. Step 5: Solve for x
    x = 118,109,518,420,787,712/227,519,725
  6. Step 6: Final answer
    x = 519,117,709.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.