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Finding the Third Proportional to 9,767,692.50 and 21,271,132.50

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Solution

The third proportional to 9,767,692.50 and 21,271,132.50 is: 46,322,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767,692.50 : 21,271,132.50 = 21,271,132.50 : x
  2. Step 2: Convert to fraction form
    9,767,692.50/21,271,132.50 = 21,271,132.50/x
  3. Step 3: Cross multiply
    9,767,692.50x = 21,271,132.50 × 21,271,132.50
  4. Step 4: Simplify right side
    9,767,692.50x = 452,461,077,832,556.25
  5. Step 5: Solve for x
    x = 452,461,077,832,556.25/9,767,692.50
  6. Step 6: Final answer
    x = 46,322,207.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.