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Finding the Third Proportional to 245,453,714 and 545,391,376

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Solution

The third proportional to 245,453,714 and 545,391,376 is: 1,211,844,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,453,714 : 545,391,376 = 545,391,376 : x
  2. Step 2: Convert to fraction form
    245,453,714/545,391,376 = 545,391,376/x
  3. Step 3: Cross multiply
    245,453,714x = 545,391,376 × 545,391,376
  4. Step 4: Simplify right side
    245,453,714x = 297,451,753,015,173,376
  5. Step 5: Solve for x
    x = 297,451,753,015,173,376/245,453,714
  6. Step 6: Final answer
    x = 1,211,844,580.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.