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Finding the Third Proportional to 6,333,746.50 and 13,564,325

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Solution

The third proportional to 6,333,746.50 and 13,564,325 is: 29,049,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333,746.50 : 13,564,325 = 13,564,325 : x
  2. Step 2: Convert to fraction form
    6,333,746.50/13,564,325 = 13,564,325/x
  3. Step 3: Cross multiply
    6,333,746.50x = 13,564,325 × 13,564,325
  4. Step 4: Simplify right side
    6,333,746.50x = 183,990,912,705,625
  5. Step 5: Solve for x
    x = 183,990,912,705,625/6,333,746.50
  6. Step 6: Final answer
    x = 29,049,301.66

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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.