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Finding the Third Proportional to 45,284,856 and 69,688,980

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Solution

The third proportional to 45,284,856 and 69,688,980 is: 107,244,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,856 : 69,688,980 = 69,688,980 : x
  2. Step 2: Convert to fraction form
    45,284,856/69,688,980 = 69,688,980/x
  3. Step 3: Cross multiply
    45,284,856x = 69,688,980 × 69,688,980
  4. Step 4: Simplify right side
    45,284,856x = 4,856,553,933,440,400
  5. Step 5: Solve for x
    x = 4,856,553,933,440,400/45,284,856
  6. Step 6: Final answer
    x = 107,244,548.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.