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Finding the Third Proportional to 64,912,916 and 137,069,176

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Solution

The third proportional to 64,912,916 and 137,069,176 is: 289,433,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,912,916 : 137,069,176 = 137,069,176 : x
  2. Step 2: Convert to fraction form
    64,912,916/137,069,176 = 137,069,176/x
  3. Step 3: Cross multiply
    64,912,916x = 137,069,176 × 137,069,176
  4. Step 4: Simplify right side
    64,912,916x = 18,787,959,009,318,976
  5. Step 5: Solve for x
    x = 18,787,959,009,318,976/64,912,916
  6. Step 6: Final answer
    x = 289,433,292.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.