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Finding the Third Proportional to 1,306,219,311 and 2,820,232,782

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Solution

The third proportional to 1,306,219,311 and 2,820,232,782 is: 6,089,109,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,219,311 : 2,820,232,782 = 2,820,232,782 : x
  2. Step 2: Convert to fraction form
    1,306,219,311/2,820,232,782 = 2,820,232,782/x
  3. Step 3: Cross multiply
    1,306,219,311x = 2,820,232,782 × 2,820,232,782
  4. Step 4: Simplify right side
    1,306,219,311x = 7,953,712,944,667,459,584
  5. Step 5: Solve for x
    x = 7,953,712,944,667,459,584/1,306,219,311
  6. Step 6: Final answer
    x = 6,089,109,904.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.