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Finding the Third Proportional to 8,511,909 and 13,550,677.50

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Solution

The third proportional to 8,511,909 and 13,550,677.50 is: 21,572,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511,909 : 13,550,677.50 = 13,550,677.50 : x
  2. Step 2: Convert to fraction form
    8,511,909/13,550,677.50 = 13,550,677.50/x
  3. Step 3: Cross multiply
    8,511,909x = 13,550,677.50 × 13,550,677.50
  4. Step 4: Simplify right side
    8,511,909x = 183,620,860,709,006.25
  5. Step 5: Solve for x
    x = 183,620,860,709,006.25/8,511,909
  6. Step 6: Final answer
    x = 21,572,230.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.