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Finding the Third Proportional to 6,296,176.51 and 13,348,995.22

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Solution

The third proportional to 6,296,176.51 and 13,348,995.22 is: 28,302,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296,176.51 : 13,348,995.22 = 13,348,995.22 : x
  2. Step 2: Convert to fraction form
    6,296,176.51/13,348,995.22 = 13,348,995.22/x
  3. Step 3: Cross multiply
    6,296,176.51x = 13,348,995.22 × 13,348,995.22
  4. Step 4: Simplify right side
    6,296,176.51x = 178,195,673,454,492.72
  5. Step 5: Solve for x
    x = 178,195,673,454,492.72/6,296,176.51
  6. Step 6: Final answer
    x = 28,302,204.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.