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Finding the Third Proportional to 838,324,186,152 and 1,823,531,437,878

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Solution

The third proportional to 838,324,186,152 and 1,823,531,437,878 is: 3,966,564,438,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,324,186,152 : 1,823,531,437,878 = 1,823,531,437,878 : x
  2. Step 2: Convert to fraction form
    838,324,186,152/1,823,531,437,878 = 1,823,531,437,878/x
  3. Step 3: Cross multiply
    838,324,186,152x = 1,823,531,437,878 × 1,823,531,437,878
  4. Step 4: Simplify right side
    838,324,186,152x = 3,325,266,904,929,405,975,396,352
  5. Step 5: Solve for x
    x = 3,325,266,904,929,405,975,396,352/838,324,186,152
  6. Step 6: Final answer
    x = 3,966,564,438,743.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.