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Finding the Third Proportional to 5,762,243.81 and 8,681,364.84

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Solution

The third proportional to 5,762,243.81 and 8,681,364.84 is: 13,079,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762,243.81 : 8,681,364.84 = 8,681,364.84 : x
  2. Step 2: Convert to fraction form
    5,762,243.81/8,681,364.84 = 8,681,364.84/x
  3. Step 3: Cross multiply
    5,762,243.81x = 8,681,364.84 × 8,681,364.84
  4. Step 4: Simplify right side
    5,762,243.81x = 75,366,095,550,298.47
  5. Step 5: Solve for x
    x = 75,366,095,550,298.47/5,762,243.81
  6. Step 6: Final answer
    x = 13,079,296.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.