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Finding the Third Proportional to 37,840,154 and 83,005,444

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Solution

The third proportional to 37,840,154 and 83,005,444 is: 182,079,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,840,154 : 83,005,444 = 83,005,444 : x
  2. Step 2: Convert to fraction form
    37,840,154/83,005,444 = 83,005,444/x
  3. Step 3: Cross multiply
    37,840,154x = 83,005,444 × 83,005,444
  4. Step 4: Simplify right side
    37,840,154x = 6,889,903,733,637,136
  5. Step 5: Solve for x
    x = 6,889,903,733,637,136/37,840,154
  6. Step 6: Final answer
    x = 182,079,167.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.