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Finding the Third Proportional to 1,766,761,191 and 3,827,966,616

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Solution

The third proportional to 1,766,761,191 and 3,827,966,616 is: 8,293,893,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,761,191 : 3,827,966,616 = 3,827,966,616 : x
  2. Step 2: Convert to fraction form
    1,766,761,191/3,827,966,616 = 3,827,966,616/x
  3. Step 3: Cross multiply
    1,766,761,191x = 3,827,966,616 × 3,827,966,616
  4. Step 4: Simplify right side
    1,766,761,191x = 14,653,328,413,210,490,880
  5. Step 5: Solve for x
    x = 14,653,328,413,210,490,880/1,766,761,191
  6. Step 6: Final answer
    x = 8,293,893,078.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.