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Finding the Third Proportional to 4,735,650 and 10,229,101

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Solution

The third proportional to 4,735,650 and 10,229,101 is: 22,095,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,650 : 10,229,101 = 10,229,101 : x
  2. Step 2: Convert to fraction form
    4,735,650/10,229,101 = 10,229,101/x
  3. Step 3: Cross multiply
    4,735,650x = 10,229,101 × 10,229,101
  4. Step 4: Simplify right side
    4,735,650x = 104,634,507,268,201
  5. Step 5: Solve for x
    x = 104,634,507,268,201/4,735,650
  6. Step 6: Final answer
    x = 22,095,067.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.