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Finding the Third Proportional to 6,989,092.50 and 14,949,729

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Solution

The third proportional to 6,989,092.50 and 14,949,729 is: 31,977,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,092.50 : 14,949,729 = 14,949,729 : x
  2. Step 2: Convert to fraction form
    6,989,092.50/14,949,729 = 14,949,729/x
  3. Step 3: Cross multiply
    6,989,092.50x = 14,949,729 × 14,949,729
  4. Step 4: Simplify right side
    6,989,092.50x = 223,494,397,173,441
  5. Step 5: Solve for x
    x = 223,494,397,173,441/6,989,092.50
  6. Step 6: Final answer
    x = 31,977,598.98

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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.