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Finding the Third Proportional to 6,473,556 and 14,166,206

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Solution

The third proportional to 6,473,556 and 14,166,206 is: 31,000,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,556 : 14,166,206 = 14,166,206 : x
  2. Step 2: Convert to fraction form
    6,473,556/14,166,206 = 14,166,206/x
  3. Step 3: Cross multiply
    6,473,556x = 14,166,206 × 14,166,206
  4. Step 4: Simplify right side
    6,473,556x = 200,681,392,434,436
  5. Step 5: Solve for x
    x = 200,681,392,434,436/6,473,556
  6. Step 6: Final answer
    x = 31,000,178.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.