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Finding the Third Proportional to 2,190,473,338 and 5,165,698,600

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Solution

The third proportional to 2,190,473,338 and 5,165,698,600 is: 12,182,043,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,473,338 : 5,165,698,600 = 5,165,698,600 : x
  2. Step 2: Convert to fraction form
    2,190,473,338/5,165,698,600 = 5,165,698,600/x
  3. Step 3: Cross multiply
    2,190,473,338x = 5,165,698,600 × 5,165,698,600
  4. Step 4: Simplify right side
    2,190,473,338x = 26,684,442,026,041,958,400
  5. Step 5: Solve for x
    x = 26,684,442,026,041,958,400/2,190,473,338
  6. Step 6: Final answer
    x = 12,182,043,745.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.