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Finding the Third Proportional to 84,762,886 and 183,074,156

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Solution

The third proportional to 84,762,886 and 183,074,156 is: 395,410,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762,886 : 183,074,156 = 183,074,156 : x
  2. Step 2: Convert to fraction form
    84,762,886/183,074,156 = 183,074,156/x
  3. Step 3: Cross multiply
    84,762,886x = 183,074,156 × 183,074,156
  4. Step 4: Simplify right side
    84,762,886x = 33,516,146,595,112,336
  5. Step 5: Solve for x
    x = 33,516,146,595,112,336/84,762,886
  6. Step 6: Final answer
    x = 395,410,635.21

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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.