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Finding the Third Proportional to 14,022,342 and 20,977,465.50

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Solution

The third proportional to 14,022,342 and 20,977,465.50 is: 31,382,351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022,342 : 20,977,465.50 = 20,977,465.50 : x
  2. Step 2: Convert to fraction form
    14,022,342/20,977,465.50 = 20,977,465.50/x
  3. Step 3: Cross multiply
    14,022,342x = 20,977,465.50 × 20,977,465.50
  4. Step 4: Simplify right side
    14,022,342x = 440,054,058,803,690.25
  5. Step 5: Solve for x
    x = 440,054,058,803,690.25/14,022,342
  6. Step 6: Final answer
    x = 31,382,351.02

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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.