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Finding the Third Proportional to 10,854,218.63 and 23,860,297.13

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Solution

The third proportional to 10,854,218.63 and 23,860,297.13 is: 52,450,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854,218.63 : 23,860,297.13 = 23,860,297.13 : x
  2. Step 2: Convert to fraction form
    10,854,218.63/23,860,297.13 = 23,860,297.13/x
  3. Step 3: Cross multiply
    10,854,218.63x = 23,860,297.13 × 23,860,297.13
  4. Step 4: Simplify right side
    10,854,218.63x = 569,313,778,893,283.25
  5. Step 5: Solve for x
    x = 569,313,778,893,283.25/10,854,218.63
  6. Step 6: Final answer
    x = 52,450,922.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.