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Finding the Third Proportional to 9,646,269 and 21,235,629

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Solution

The third proportional to 9,646,269 and 21,235,629 is: 46,748,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,269 : 21,235,629 = 21,235,629 : x
  2. Step 2: Convert to fraction form
    9,646,269/21,235,629 = 21,235,629/x
  3. Step 3: Cross multiply
    9,646,269x = 21,235,629 × 21,235,629
  4. Step 4: Simplify right side
    9,646,269x = 450,951,939,025,641
  5. Step 5: Solve for x
    x = 450,951,939,025,641/9,646,269
  6. Step 6: Final answer
    x = 46,748,845.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.