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Finding the Third Proportional to 49,282,371 and 76,611,673.13

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Solution

The third proportional to 49,282,371 and 76,611,673.13 is: 119,096,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,282,371 : 76,611,673.13 = 76,611,673.13 : x
  2. Step 2: Convert to fraction form
    49,282,371/76,611,673.13 = 76,611,673.13/x
  3. Step 3: Cross multiply
    49,282,371x = 76,611,673.13 × 76,611,673.13
  4. Step 4: Simplify right side
    49,282,371x = 5,869,348,459,011,847
  5. Step 5: Solve for x
    x = 5,869,348,459,011,847/49,282,371
  6. Step 6: Final answer
    x = 119,096,308.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.