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Finding the Third Proportional to 6,989,095.50 and 14,949,735

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Solution

The third proportional to 6,989,095.50 and 14,949,735 is: 31,977,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,095.50 : 14,949,735 = 14,949,735 : x
  2. Step 2: Convert to fraction form
    6,989,095.50/14,949,735 = 14,949,735/x
  3. Step 3: Cross multiply
    6,989,095.50x = 14,949,735 × 14,949,735
  4. Step 4: Simplify right side
    6,989,095.50x = 223,494,576,570,225
  5. Step 5: Solve for x
    x = 223,494,576,570,225/6,989,095.50
  6. Step 6: Final answer
    x = 31,977,610.92

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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.