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Finding the Third Proportional to 6,989,089.50 and 14,949,723

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Solution

The third proportional to 6,989,089.50 and 14,949,723 is: 31,977,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,089.50 : 14,949,723 = 14,949,723 : x
  2. Step 2: Convert to fraction form
    6,989,089.50/14,949,723 = 14,949,723/x
  3. Step 3: Cross multiply
    6,989,089.50x = 14,949,723 × 14,949,723
  4. Step 4: Simplify right side
    6,989,089.50x = 223,494,217,776,729
  5. Step 5: Solve for x
    x = 223,494,217,776,729/6,989,089.50
  6. Step 6: Final answer
    x = 31,977,587.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.