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Finding the Third Proportional to 2,211,702,950 and 4,751,628,592

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Solution

The third proportional to 2,211,702,950 and 4,751,628,592 is: 10,208,411,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,702,950 : 4,751,628,592 = 4,751,628,592 : x
  2. Step 2: Convert to fraction form
    2,211,702,950/4,751,628,592 = 4,751,628,592/x
  3. Step 3: Cross multiply
    2,211,702,950x = 4,751,628,592 × 4,751,628,592
  4. Step 4: Simplify right side
    2,211,702,950x = 22,577,974,276,311,904,256
  5. Step 5: Solve for x
    x = 22,577,974,276,311,904,256/2,211,702,950
  6. Step 6: Final answer
    x = 10,208,411,702.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.