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Finding the Third Proportional to 9,441,775.13 and 14,197,728.09

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Solution

The third proportional to 9,441,775.13 and 14,197,728.09 is: 21,349,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441,775.13 : 14,197,728.09 = 14,197,728.09 : x
  2. Step 2: Convert to fraction form
    9,441,775.13/14,197,728.09 = 14,197,728.09/x
  3. Step 3: Cross multiply
    9,441,775.13x = 14,197,728.09 × 14,197,728.09
  4. Step 4: Simplify right side
    9,441,775.13x = 201,575,483,024,058
  5. Step 5: Solve for x
    x = 201,575,483,024,058/9,441,775.13
  6. Step 6: Final answer
    x = 21,349,320.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.