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Finding the Third Proportional to 45,475,113 and 69,899,257

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Solution

The third proportional to 45,475,113 and 69,899,257 is: 107,441,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,475,113 : 69,899,257 = 69,899,257 : x
  2. Step 2: Convert to fraction form
    45,475,113/69,899,257 = 69,899,257/x
  3. Step 3: Cross multiply
    45,475,113x = 69,899,257 × 69,899,257
  4. Step 4: Simplify right side
    45,475,113x = 4,885,906,129,152,049
  5. Step 5: Solve for x
    x = 4,885,906,129,152,049/45,475,113
  6. Step 6: Final answer
    x = 107,441,319.15

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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.