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Finding the Third Proportional to 6,102,847.50 and 13,055,082

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Solution

The third proportional to 6,102,847.50 and 13,055,082 is: 27,927,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102,847.50 : 13,055,082 = 13,055,082 : x
  2. Step 2: Convert to fraction form
    6,102,847.50/13,055,082 = 13,055,082/x
  3. Step 3: Cross multiply
    6,102,847.50x = 13,055,082 × 13,055,082
  4. Step 4: Simplify right side
    6,102,847.50x = 170,435,166,026,724
  5. Step 5: Solve for x
    x = 170,435,166,026,724/6,102,847.50
  6. Step 6: Final answer
    x = 27,927,154.66

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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.