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Finding the Third Proportional to 9,283,014 and 14,191,335

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Solution

The third proportional to 9,283,014 and 14,191,335 is: 21,694,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283,014 : 14,191,335 = 14,191,335 : x
  2. Step 2: Convert to fraction form
    9,283,014/14,191,335 = 14,191,335/x
  3. Step 3: Cross multiply
    9,283,014x = 14,191,335 × 14,191,335
  4. Step 4: Simplify right side
    9,283,014x = 201,393,989,082,225
  5. Step 5: Solve for x
    x = 201,393,989,082,225/9,283,014
  6. Step 6: Final answer
    x = 21,694,892.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.