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Finding the Third Proportional to 6,214,618.50 and 14,649,582

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Solution

The third proportional to 6,214,618.50 and 14,649,582 is: 34,533,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,618.50 : 14,649,582 = 14,649,582 : x
  2. Step 2: Convert to fraction form
    6,214,618.50/14,649,582 = 14,649,582/x
  3. Step 3: Cross multiply
    6,214,618.50x = 14,649,582 × 14,649,582
  4. Step 4: Simplify right side
    6,214,618.50x = 214,610,252,774,724
  5. Step 5: Solve for x
    x = 214,610,252,774,724/6,214,618.50
  6. Step 6: Final answer
    x = 34,533,133.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.