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Finding the Third Proportional to 9,612,085 and 12,840,097

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Solution

The third proportional to 9,612,085 and 12,840,097 is: 17,152,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612,085 : 12,840,097 = 12,840,097 : x
  2. Step 2: Convert to fraction form
    9,612,085/12,840,097 = 12,840,097/x
  3. Step 3: Cross multiply
    9,612,085x = 12,840,097 × 12,840,097
  4. Step 4: Simplify right side
    9,612,085x = 164,868,090,969,409
  5. Step 5: Solve for x
    x = 164,868,090,969,409/9,612,085
  6. Step 6: Final answer
    x = 17,152,167.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.