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Finding the Third Proportional to 9,671,366 and 14,631,436

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Solution

The third proportional to 9,671,366 and 14,631,436 is: 22,135,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671,366 : 14,631,436 = 14,631,436 : x
  2. Step 2: Convert to fraction form
    9,671,366/14,631,436 = 14,631,436/x
  3. Step 3: Cross multiply
    9,671,366x = 14,631,436 × 14,631,436
  4. Step 4: Simplify right side
    9,671,366x = 214,078,919,422,096
  5. Step 5: Solve for x
    x = 214,078,919,422,096/9,671,366
  6. Step 6: Final answer
    x = 22,135,334.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.