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Finding the Third Proportional to 634,066,300 and 1,285,961,105

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Solution

The third proportional to 634,066,300 and 1,285,961,105 is: 2,608,080,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,066,300 : 1,285,961,105 = 1,285,961,105 : x
  2. Step 2: Convert to fraction form
    634,066,300/1,285,961,105 = 1,285,961,105/x
  3. Step 3: Cross multiply
    634,066,300x = 1,285,961,105 × 1,285,961,105
  4. Step 4: Simplify right side
    634,066,300x = 1,653,695,963,572,820,992
  5. Step 5: Solve for x
    x = 1,653,695,963,572,820,992/634,066,300
  6. Step 6: Final answer
    x = 2,608,080,517.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.