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Finding the Third Proportional to 84,762,869 and 183,074,122

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Solution

The third proportional to 84,762,869 and 183,074,122 is: 395,410,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762,869 : 183,074,122 = 183,074,122 : x
  2. Step 2: Convert to fraction form
    84,762,869/183,074,122 = 183,074,122/x
  3. Step 3: Cross multiply
    84,762,869x = 183,074,122 × 183,074,122
  4. Step 4: Simplify right side
    84,762,869x = 33,516,134,146,070,884
  5. Step 5: Solve for x
    x = 33,516,134,146,070,884/84,762,869
  6. Step 6: Final answer
    x = 395,410,567.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.