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Finding the Third Proportional to 245,741,064 and 527,951,304

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Solution

The third proportional to 245,741,064 and 527,951,304 is: 1,134,253,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,741,064 : 527,951,304 = 527,951,304 : x
  2. Step 2: Convert to fraction form
    245,741,064/527,951,304 = 527,951,304/x
  3. Step 3: Cross multiply
    245,741,064x = 527,951,304 × 527,951,304
  4. Step 4: Simplify right side
    245,741,064x = 278,732,579,395,300,416
  5. Step 5: Solve for x
    x = 278,732,579,395,300,416/245,741,064
  6. Step 6: Final answer
    x = 1,134,253,164.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.