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Finding the Third Proportional to 6,546,368 and 14,225,876

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Solution

The third proportional to 6,546,368 and 14,225,876 is: 30,914,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546,368 : 14,225,876 = 14,225,876 : x
  2. Step 2: Convert to fraction form
    6,546,368/14,225,876 = 14,225,876/x
  3. Step 3: Cross multiply
    6,546,368x = 14,225,876 × 14,225,876
  4. Step 4: Simplify right side
    6,546,368x = 202,375,547,967,376
  5. Step 5: Solve for x
    x = 202,375,547,967,376/6,546,368
  6. Step 6: Final answer
    x = 30,914,172.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.