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Finding the Third Proportional to 634,066,314 and 1,285,961,130

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Solution

The third proportional to 634,066,314 and 1,285,961,130 is: 2,608,080,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,066,314 : 1,285,961,130 = 1,285,961,130 : x
  2. Step 2: Convert to fraction form
    634,066,314/1,285,961,130 = 1,285,961,130/x
  3. Step 3: Cross multiply
    634,066,314x = 1,285,961,130 × 1,285,961,130
  4. Step 4: Simplify right side
    634,066,314x = 1,653,696,027,870,876,928
  5. Step 5: Solve for x
    x = 1,653,696,027,870,876,928/634,066,314
  6. Step 6: Final answer
    x = 2,608,080,560.91

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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.