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Finding the Third Proportional to 5,538,998 and 11,518,312

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Solution

The third proportional to 5,538,998 and 11,518,312 is: 23,952,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538,998 : 11,518,312 = 11,518,312 : x
  2. Step 2: Convert to fraction form
    5,538,998/11,518,312 = 11,518,312/x
  3. Step 3: Cross multiply
    5,538,998x = 11,518,312 × 11,518,312
  4. Step 4: Simplify right side
    5,538,998x = 132,671,511,329,344
  5. Step 5: Solve for x
    x = 132,671,511,329,344/5,538,998
  6. Step 6: Final answer
    x = 23,952,258.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.