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Finding the Third Proportional to 4,281,922.13 and 9,991,488.94

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Solution

The third proportional to 4,281,922.13 and 9,991,488.94 is: 23,314,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,922.13 : 9,991,488.94 = 9,991,488.94 : x
  2. Step 2: Convert to fraction form
    4,281,922.13/9,991,488.94 = 9,991,488.94/x
  3. Step 3: Cross multiply
    4,281,922.13x = 9,991,488.94 × 9,991,488.94
  4. Step 4: Simplify right side
    4,281,922.13x = 99,829,851,188,184.88
  5. Step 5: Solve for x
    x = 99,829,851,188,184.88/4,281,922.13
  6. Step 6: Final answer
    x = 23,314,261.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.