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Finding the Third Proportional to 4,774,024.13 and 9,768,661.88

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Solution

The third proportional to 4,774,024.13 and 9,768,661.88 is: 19,988,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774,024.13 : 9,768,661.88 = 9,768,661.88 : x
  2. Step 2: Convert to fraction form
    4,774,024.13/9,768,661.88 = 9,768,661.88/x
  3. Step 3: Cross multiply
    4,774,024.13x = 9,768,661.88 × 9,768,661.88
  4. Step 4: Simplify right side
    4,774,024.13x = 95,426,754,828,078.52
  5. Step 5: Solve for x
    x = 95,426,754,828,078.52/4,774,024.13
  6. Step 6: Final answer
    x = 19,988,745.83

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.