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Finding the Third Proportional to 6,842,602.69 and 9,566,361.28

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Solution

The third proportional to 6,842,602.69 and 9,566,361.28 is: 13,374,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,602.69 : 9,566,361.28 = 9,566,361.28 : x
  2. Step 2: Convert to fraction form
    6,842,602.69/9,566,361.28 = 9,566,361.28/x
  3. Step 3: Cross multiply
    6,842,602.69x = 9,566,361.28 × 9,566,361.28
  4. Step 4: Simplify right side
    6,842,602.69x = 91,515,268,163,399.14
  5. Step 5: Solve for x
    x = 91,515,268,163,399.14/6,842,602.69
  6. Step 6: Final answer
    x = 13,374,336.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.