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Finding the Third Proportional to 4,078,299,499 and 6,297,608,263

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Solution

The third proportional to 4,078,299,499 and 6,297,608,263 is: 9,724,609,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,299,499 : 6,297,608,263 = 6,297,608,263 : x
  2. Step 2: Convert to fraction form
    4,078,299,499/6,297,608,263 = 6,297,608,263/x
  3. Step 3: Cross multiply
    4,078,299,499x = 6,297,608,263 × 6,297,608,263
  4. Step 4: Simplify right side
    4,078,299,499x = 39,659,869,834,205,880,320
  5. Step 5: Solve for x
    x = 39,659,869,834,205,880,320/4,078,299,499
  6. Step 6: Final answer
    x = 9,724,609,446.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.