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Finding the Third Proportional to 2,242,235.25 and 5,264,004.38

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Solution

The third proportional to 2,242,235.25 and 5,264,004.38 is: 12,358,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,235.25 : 5,264,004.38 = 5,264,004.38 : x
  2. Step 2: Convert to fraction form
    2,242,235.25/5,264,004.38 = 5,264,004.38/x
  3. Step 3: Cross multiply
    2,242,235.25x = 5,264,004.38 × 5,264,004.38
  4. Step 4: Simplify right side
    2,242,235.25x = 27,709,742,060,019.14
  5. Step 5: Solve for x
    x = 27,709,742,060,019.14/2,242,235.25
  6. Step 6: Final answer
    x = 12,358,088.68

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.