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Finding the Third Proportional to 5,242,797.38 and 7,083,345.38

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Solution

The third proportional to 5,242,797.38 and 7,083,345.38 is: 9,570,040.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242,797.38 : 7,083,345.38 = 7,083,345.38 : x
  2. Step 2: Convert to fraction form
    5,242,797.38/7,083,345.38 = 7,083,345.38/x
  3. Step 3: Cross multiply
    5,242,797.38x = 7,083,345.38 × 7,083,345.38
  4. Step 4: Simplify right side
    5,242,797.38x = 50,173,781,701,533.89
  5. Step 5: Solve for x
    x = 50,173,781,701,533.89/5,242,797.38
  6. Step 6: Final answer
    x = 9,570,040.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.