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Finding the Third Proportional to 4,021,141.22 and 6,136,927.03

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Solution

The third proportional to 4,021,141.22 and 6,136,927.03 is: 9,365,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021,141.22 : 6,136,927.03 = 6,136,927.03 : x
  2. Step 2: Convert to fraction form
    4,021,141.22/6,136,927.03 = 6,136,927.03/x
  3. Step 3: Cross multiply
    4,021,141.22x = 6,136,927.03 × 6,136,927.03
  4. Step 4: Simplify right side
    4,021,141.22x = 37,661,873,386,886.94
  5. Step 5: Solve for x
    x = 37,661,873,386,886.94/4,021,141.22
  6. Step 6: Final answer
    x = 9,365,966.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.