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Finding the Third Proportional to 9,533,414 and 12,240,650

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Solution

The third proportional to 9,533,414 and 12,240,650 is: 15,716,669.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533,414 : 12,240,650 = 12,240,650 : x
  2. Step 2: Convert to fraction form
    9,533,414/12,240,650 = 12,240,650/x
  3. Step 3: Cross multiply
    9,533,414x = 12,240,650 × 12,240,650
  4. Step 4: Simplify right side
    9,533,414x = 149,833,512,422,500
  5. Step 5: Solve for x
    x = 149,833,512,422,500/9,533,414
  6. Step 6: Final answer
    x = 15,716,669.02

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.