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Finding the Third Proportional to 10,269,447 and 14,356,600.50

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Solution

The third proportional to 10,269,447 and 14,356,600.50 is: 20,070,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269,447 : 14,356,600.50 = 14,356,600.50 : x
  2. Step 2: Convert to fraction form
    10,269,447/14,356,600.50 = 14,356,600.50/x
  3. Step 3: Cross multiply
    10,269,447x = 14,356,600.50 × 14,356,600.50
  4. Step 4: Simplify right side
    10,269,447x = 206,111,977,916,600.25
  5. Step 5: Solve for x
    x = 206,111,977,916,600.25/10,269,447
  6. Step 6: Final answer
    x = 20,070,406.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.