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Finding the Third Proportional to 1,659,127,641 and 3,554,906,913

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Solution

The third proportional to 1,659,127,641 and 3,554,906,913 is: 7,616,872,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,127,641 : 3,554,906,913 = 3,554,906,913 : x
  2. Step 2: Convert to fraction form
    1,659,127,641/3,554,906,913 = 3,554,906,913/x
  3. Step 3: Cross multiply
    1,659,127,641x = 3,554,906,913 × 3,554,906,913
  4. Step 4: Simplify right side
    1,659,127,641x = 12,637,363,160,095,188,992
  5. Step 5: Solve for x
    x = 12,637,363,160,095,188,992/1,659,127,641
  6. Step 6: Final answer
    x = 7,616,872,172.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.