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Finding the Third Proportional to 2,863,203.19 and 6,136,210.69

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Solution

The third proportional to 2,863,203.19 and 6,136,210.69 is: 13,150,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,203.19 : 6,136,210.69 = 6,136,210.69 : x
  2. Step 2: Convert to fraction form
    2,863,203.19/6,136,210.69 = 6,136,210.69/x
  3. Step 3: Cross multiply
    2,863,203.19x = 6,136,210.69 × 6,136,210.69
  4. Step 4: Simplify right side
    2,863,203.19x = 37,653,081,601,389.22
  5. Step 5: Solve for x
    x = 37,653,081,601,389.22/2,863,203.19
  6. Step 6: Final answer
    x = 13,150,684.44

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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.