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Finding the Third Proportional to 6,319,971 and 9,546,374

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Solution

The third proportional to 6,319,971 and 9,546,374 is: 14,419,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319,971 : 9,546,374 = 9,546,374 : x
  2. Step 2: Convert to fraction form
    6,319,971/9,546,374 = 9,546,374/x
  3. Step 3: Cross multiply
    6,319,971x = 9,546,374 × 9,546,374
  4. Step 4: Simplify right side
    6,319,971x = 91,133,256,547,876
  5. Step 5: Solve for x
    x = 91,133,256,547,876/6,319,971
  6. Step 6: Final answer
    x = 14,419,885.24

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Why These Related Problems?

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