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Finding the Third Proportional to 63,669,346 and 137,504,804

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Solution

The third proportional to 63,669,346 and 137,504,804 is: 296,965,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,669,346 : 137,504,804 = 137,504,804 : x
  2. Step 2: Convert to fraction form
    63,669,346/137,504,804 = 137,504,804/x
  3. Step 3: Cross multiply
    63,669,346x = 137,504,804 × 137,504,804
  4. Step 4: Simplify right side
    63,669,346x = 18,907,571,123,078,416
  5. Step 5: Solve for x
    x = 18,907,571,123,078,416/63,669,346
  6. Step 6: Final answer
    x = 296,965,059.50

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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.