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Finding the Third Proportional to 680,984,976.94 and 1,416,319,478.16

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Solution

The third proportional to 680,984,976.94 and 1,416,319,478.16 is: 2,945,675,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,984,976.94 : 1,416,319,478.16 = 1,416,319,478.16 : x
  2. Step 2: Convert to fraction form
    680,984,976.94/1,416,319,478.16 = 1,416,319,478.16/x
  3. Step 3: Cross multiply
    680,984,976.94x = 1,416,319,478.16 × 1,416,319,478.16
  4. Step 4: Simplify right side
    680,984,976.94x = 2,005,960,864,204,650,496
  5. Step 5: Solve for x
    x = 2,005,960,864,204,650,496/680,984,976.94
  6. Step 6: Final answer
    x = 2,945,675,649.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.