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Finding the Third Proportional to 2,829,057,834 and 5,951,291,492

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Solution

The third proportional to 2,829,057,834 and 5,951,291,492 is: 12,519,316,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,057,834 : 5,951,291,492 = 5,951,291,492 : x
  2. Step 2: Convert to fraction form
    2,829,057,834/5,951,291,492 = 5,951,291,492/x
  3. Step 3: Cross multiply
    2,829,057,834x = 5,951,291,492 × 5,951,291,492
  4. Step 4: Simplify right side
    2,829,057,834x = 35,417,870,422,751,584,256
  5. Step 5: Solve for x
    x = 35,417,870,422,751,584,256/2,829,057,834
  6. Step 6: Final answer
    x = 12,519,316,500.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.