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Finding the Third Proportional to 6,510,165.75 and 13,758,444

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Solution

The third proportional to 6,510,165.75 and 13,758,444 is: 29,076,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510,165.75 : 13,758,444 = 13,758,444 : x
  2. Step 2: Convert to fraction form
    6,510,165.75/13,758,444 = 13,758,444/x
  3. Step 3: Cross multiply
    6,510,165.75x = 13,758,444 × 13,758,444
  4. Step 4: Simplify right side
    6,510,165.75x = 189,294,781,301,136
  5. Step 5: Solve for x
    x = 189,294,781,301,136/6,510,165.75
  6. Step 6: Final answer
    x = 29,076,799.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.