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Finding the Third Proportional to 11,371,907.50 and 16,261,961.50

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Solution

The third proportional to 11,371,907.50 and 16,261,961.50 is: 23,254,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,371,907.50 : 16,261,961.50 = 16,261,961.50 : x
  2. Step 2: Convert to fraction form
    11,371,907.50/16,261,961.50 = 16,261,961.50/x
  3. Step 3: Cross multiply
    11,371,907.50x = 16,261,961.50 × 16,261,961.50
  4. Step 4: Simplify right side
    11,371,907.50x = 264,451,391,827,482.25
  5. Step 5: Solve for x
    x = 264,451,391,827,482.25/11,371,907.50
  6. Step 6: Final answer
    x = 23,254,796.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.