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Finding the Third Proportional to 4,891,580,311,647 and 7,294,951,238,319

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Solution

The third proportional to 4,891,580,311,647 and 7,294,951,238,319 is: 10,879,165,868,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891,580,311,647 : 7,294,951,238,319 = 7,294,951,238,319 : x
  2. Step 2: Convert to fraction form
    4,891,580,311,647/7,294,951,238,319 = 7,294,951,238,319/x
  3. Step 3: Cross multiply
    4,891,580,311,647x = 7,294,951,238,319 × 7,294,951,238,319
  4. Step 4: Simplify right side
    4,891,580,311,647x = 53,216,313,569,451,907,559,194,624
  5. Step 5: Solve for x
    x = 53,216,313,569,451,907,559,194,624/4,891,580,311,647
  6. Step 6: Final answer
    x = 10,879,165,868,490.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.