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Finding the Third Proportional to 14,022,306 and 20,977,409.25

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Solution

The third proportional to 14,022,306 and 20,977,409.25 is: 31,382,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,306 : 20,977,409.25 = 20,977,409.25 : x
  2. Step 2: Convert to fraction form
    14,022,306/20,977,409.25 = 20,977,409.25/x
  3. Step 3: Cross multiply
    14,022,306x = 20,977,409.25 × 20,977,409.25
  4. Step 4: Simplify right side
    14,022,306x = 440,051,698,841,985.56
  5. Step 5: Solve for x
    x = 440,051,698,841,985.56/14,022,306
  6. Step 6: Final answer
    x = 31,382,263.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.