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Finding the Third Proportional to 634,066,320 and 1,285,961,142

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Solution

The third proportional to 634,066,320 and 1,285,961,142 is: 2,608,080,584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,066,320 : 1,285,961,142 = 1,285,961,142 : x
  2. Step 2: Convert to fraction form
    634,066,320/1,285,961,142 = 1,285,961,142/x
  3. Step 3: Cross multiply
    634,066,320x = 1,285,961,142 × 1,285,961,142
  4. Step 4: Simplify right side
    634,066,320x = 1,653,696,058,733,944,064
  5. Step 5: Solve for x
    x = 1,653,696,058,733,944,064/634,066,320
  6. Step 6: Final answer
    x = 2,608,080,584.90

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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.