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Finding the Third Proportional to 9,629,309 and 14,958,153

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Solution

The third proportional to 9,629,309 and 14,958,153 is: 23,235,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,309 : 14,958,153 = 14,958,153 : x
  2. Step 2: Convert to fraction form
    9,629,309/14,958,153 = 14,958,153/x
  3. Step 3: Cross multiply
    9,629,309x = 14,958,153 × 14,958,153
  4. Step 4: Simplify right side
    9,629,309x = 223,746,341,171,409
  5. Step 5: Solve for x
    x = 223,746,341,171,409/9,629,309
  6. Step 6: Final answer
    x = 23,235,970.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.