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Finding the Third Proportional to 5,725,822.50 and 12,445,623

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Solution

The third proportional to 5,725,822.50 and 12,445,623 is: 27,051,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,822.50 : 12,445,623 = 12,445,623 : x
  2. Step 2: Convert to fraction form
    5,725,822.50/12,445,623 = 12,445,623/x
  3. Step 3: Cross multiply
    5,725,822.50x = 12,445,623 × 12,445,623
  4. Step 4: Simplify right side
    5,725,822.50x = 154,893,531,858,129
  5. Step 5: Solve for x
    x = 154,893,531,858,129/5,725,822.50
  6. Step 6: Final answer
    x = 27,051,752.28

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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.