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Finding the Third Proportional to 4,565,837.63 and 6,854,762.25

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Solution

The third proportional to 4,565,837.63 and 6,854,762.25 is: 10,291,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565,837.63 : 6,854,762.25 = 6,854,762.25 : x
  2. Step 2: Convert to fraction form
    4,565,837.63/6,854,762.25 = 6,854,762.25/x
  3. Step 3: Cross multiply
    4,565,837.63x = 6,854,762.25 × 6,854,762.25
  4. Step 4: Simplify right side
    4,565,837.63x = 46,987,765,504,025.06
  5. Step 5: Solve for x
    x = 46,987,765,504,025.06/4,565,837.63
  6. Step 6: Final answer
    x = 10,291,159.99

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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.