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Finding the Third Proportional to 6,766,514 and 10,364,097

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Solution

The third proportional to 6,766,514 and 10,364,097 is: 15,874,423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,514 : 10,364,097 = 10,364,097 : x
  2. Step 2: Convert to fraction form
    6,766,514/10,364,097 = 10,364,097/x
  3. Step 3: Cross multiply
    6,766,514x = 10,364,097 × 10,364,097
  4. Step 4: Simplify right side
    6,766,514x = 107,414,506,625,409
  5. Step 5: Solve for x
    x = 107,414,506,625,409/6,766,514
  6. Step 6: Final answer
    x = 15,874,423.17

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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.