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Finding the Third Proportional to 6,835,858.50 and 14,845,312.50

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Solution

The third proportional to 6,835,858.50 and 14,845,312.50 is: 32,239,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,858.50 : 14,845,312.50 = 14,845,312.50 : x
  2. Step 2: Convert to fraction form
    6,835,858.50/14,845,312.50 = 14,845,312.50/x
  3. Step 3: Cross multiply
    6,835,858.50x = 14,845,312.50 × 14,845,312.50
  4. Step 4: Simplify right side
    6,835,858.50x = 220,383,303,222,656.25
  5. Step 5: Solve for x
    x = 220,383,303,222,656.25/6,835,858.50
  6. Step 6: Final answer
    x = 32,239,301.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.