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Finding the Third Proportional to 1,637,355,043 and 3,561,591,999

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Solution

The third proportional to 1,637,355,043 and 3,561,591,999 is: 7,747,212,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,355,043 : 3,561,591,999 = 3,561,591,999 : x
  2. Step 2: Convert to fraction form
    1,637,355,043/3,561,591,999 = 3,561,591,999/x
  3. Step 3: Cross multiply
    1,637,355,043x = 3,561,591,999 × 3,561,591,999
  4. Step 4: Simplify right side
    1,637,355,043x = 12,684,937,567,340,816,384
  5. Step 5: Solve for x
    x = 12,684,937,567,340,816,384/1,637,355,043
  6. Step 6: Final answer
    x = 7,747,212,567.96

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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.