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Finding the Third Proportional to 264,480,481.13 and 617,606,432.44

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Solution

The third proportional to 264,480,481.13 and 617,606,432.44 is: 1,442,214,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,480,481.13 : 617,606,432.44 = 617,606,432.44 : x
  2. Step 2: Convert to fraction form
    264,480,481.13/617,606,432.44 = 617,606,432.44/x
  3. Step 3: Cross multiply
    264,480,481.13x = 617,606,432.44 × 617,606,432.44
  4. Step 4: Simplify right side
    264,480,481.13x = 381,437,705,388,176,256
  5. Step 5: Solve for x
    x = 381,437,705,388,176,256/264,480,481.13
  6. Step 6: Final answer
    x = 1,442,214,955.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.