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Finding the Third Proportional to 6,733,825.50 and 14,413,083

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Solution

The third proportional to 6,733,825.50 and 14,413,083 is: 30,849,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733,825.50 : 14,413,083 = 14,413,083 : x
  2. Step 2: Convert to fraction form
    6,733,825.50/14,413,083 = 14,413,083/x
  3. Step 3: Cross multiply
    6,733,825.50x = 14,413,083 × 14,413,083
  4. Step 4: Simplify right side
    6,733,825.50x = 207,736,961,564,889
  5. Step 5: Solve for x
    x = 207,736,961,564,889/6,733,825.50
  6. Step 6: Final answer
    x = 30,849,769.06

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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.