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Finding the Third Proportional to 6,977,965.50 and 14,801,328

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Solution

The third proportional to 6,977,965.50 and 14,801,328 is: 31,395,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,965.50 : 14,801,328 = 14,801,328 : x
  2. Step 2: Convert to fraction form
    6,977,965.50/14,801,328 = 14,801,328/x
  3. Step 3: Cross multiply
    6,977,965.50x = 14,801,328 × 14,801,328
  4. Step 4: Simplify right side
    6,977,965.50x = 219,079,310,563,584
  5. Step 5: Solve for x
    x = 219,079,310,563,584/6,977,965.50
  6. Step 6: Final answer
    x = 31,395,871.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.