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Finding the Third Proportional to 6,510,258.56 and 14,142,448.13

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Solution

The third proportional to 6,510,258.56 and 14,142,448.13 is: 30,722,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510,258.56 : 14,142,448.13 = 14,142,448.13 : x
  2. Step 2: Convert to fraction form
    6,510,258.56/14,142,448.13 = 14,142,448.13/x
  3. Step 3: Cross multiply
    6,510,258.56x = 14,142,448.13 × 14,142,448.13
  4. Step 4: Simplify right side
    6,510,258.56x = 200,008,838,968,316
  5. Step 5: Solve for x
    x = 200,008,838,968,316/6,510,258.56
  6. Step 6: Final answer
    x = 30,722,103.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.