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Finding the Third Proportional to 4,548,192.75 and 9,950,962.50

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Solution

The third proportional to 4,548,192.75 and 9,950,962.50 is: 21,771,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548,192.75 : 9,950,962.50 = 9,950,962.50 : x
  2. Step 2: Convert to fraction form
    4,548,192.75/9,950,962.50 = 9,950,962.50/x
  3. Step 3: Cross multiply
    4,548,192.75x = 9,950,962.50 × 9,950,962.50
  4. Step 4: Simplify right side
    4,548,192.75x = 99,021,654,676,406.25
  5. Step 5: Solve for x
    x = 99,021,654,676,406.25/4,548,192.75
  6. Step 6: Final answer
    x = 21,771,648.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.