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Finding the Third Proportional to 6,478,576 and 14,173,834

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Solution

The third proportional to 6,478,576 and 14,173,834 is: 31,009,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,576 : 14,173,834 = 14,173,834 : x
  2. Step 2: Convert to fraction form
    6,478,576/14,173,834 = 14,173,834/x
  3. Step 3: Cross multiply
    6,478,576x = 14,173,834 × 14,173,834
  4. Step 4: Simplify right side
    6,478,576x = 200,897,570,259,556
  5. Step 5: Solve for x
    x = 200,897,570,259,556/6,478,576
  6. Step 6: Final answer
    x = 31,009,525.90

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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.