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Finding the Third Proportional to 6,892,420.50 and 11,447,446.50

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Solution

The third proportional to 6,892,420.50 and 11,447,446.50 is: 19,012,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892,420.50 : 11,447,446.50 = 11,447,446.50 : x
  2. Step 2: Convert to fraction form
    6,892,420.50/11,447,446.50 = 11,447,446.50/x
  3. Step 3: Cross multiply
    6,892,420.50x = 11,447,446.50 × 11,447,446.50
  4. Step 4: Simplify right side
    6,892,420.50x = 131,044,031,370,362.25
  5. Step 5: Solve for x
    x = 131,044,031,370,362.25/6,892,420.50
  6. Step 6: Final answer
    x = 19,012,773.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.