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Finding the Third Proportional to 10,075,209.75 and 21,860,994.94

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Solution

The third proportional to 10,075,209.75 and 21,860,994.94 is: 47,433,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075,209.75 : 21,860,994.94 = 21,860,994.94 : x
  2. Step 2: Convert to fraction form
    10,075,209.75/21,860,994.94 = 21,860,994.94/x
  3. Step 3: Cross multiply
    10,075,209.75x = 21,860,994.94 × 21,860,994.94
  4. Step 4: Simplify right side
    10,075,209.75x = 477,903,099,657,400.62
  5. Step 5: Solve for x
    x = 477,903,099,657,400.62/10,075,209.75
  6. Step 6: Final answer
    x = 47,433,563.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.