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Finding the Third Proportional to 2,214,468 and 4,796,230.50

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Solution

The third proportional to 2,214,468 and 4,796,230.50 is: 10,387,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,468 : 4,796,230.50 = 4,796,230.50 : x
  2. Step 2: Convert to fraction form
    2,214,468/4,796,230.50 = 4,796,230.50/x
  3. Step 3: Cross multiply
    2,214,468x = 4,796,230.50 × 4,796,230.50
  4. Step 4: Simplify right side
    2,214,468x = 23,003,827,009,130.25
  5. Step 5: Solve for x
    x = 23,003,827,009,130.25/2,214,468
  6. Step 6: Final answer
    x = 10,387,969.94

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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.