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Finding the Third Proportional to 1,687,527,116 and 3,701,805,156

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Solution

The third proportional to 1,687,527,116 and 3,701,805,156 is: 8,120,379,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,527,116 : 3,701,805,156 = 3,701,805,156 : x
  2. Step 2: Convert to fraction form
    1,687,527,116/3,701,805,156 = 3,701,805,156/x
  3. Step 3: Cross multiply
    1,687,527,116x = 3,701,805,156 × 3,701,805,156
  4. Step 4: Simplify right side
    1,687,527,116x = 13,703,361,412,988,184,576
  5. Step 5: Solve for x
    x = 13,703,361,412,988,184,576/1,687,527,116
  6. Step 6: Final answer
    x = 8,120,379,982.68

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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.