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Finding the Third Proportional to 6,705,717 and 14,483,311.50

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Solution

The third proportional to 6,705,717 and 14,483,311.50 is: 31,281,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705,717 : 14,483,311.50 = 14,483,311.50 : x
  2. Step 2: Convert to fraction form
    6,705,717/14,483,311.50 = 14,483,311.50/x
  3. Step 3: Cross multiply
    6,705,717x = 14,483,311.50 × 14,483,311.50
  4. Step 4: Simplify right side
    6,705,717x = 209,766,312,006,032.25
  5. Step 5: Solve for x
    x = 209,766,312,006,032.25/6,705,717
  6. Step 6: Final answer
    x = 31,281,712.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.