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Finding the Third Proportional to 6,430,125 and 13,869,856.50

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Solution

The third proportional to 6,430,125 and 13,869,856.50 is: 29,917,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,125 : 13,869,856.50 = 13,869,856.50 : x
  2. Step 2: Convert to fraction form
    6,430,125/13,869,856.50 = 13,869,856.50/x
  3. Step 3: Cross multiply
    6,430,125x = 13,869,856.50 × 13,869,856.50
  4. Step 4: Simplify right side
    6,430,125x = 192,372,919,330,592.25
  5. Step 5: Solve for x
    x = 192,372,919,330,592.25/6,430,125
  6. Step 6: Final answer
    x = 29,917,446.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.