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Finding the Third Proportional to 64,041,710 and 137,809,737

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Solution

The third proportional to 64,041,710 and 137,809,737 is: 296,549,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,041,710 : 137,809,737 = 137,809,737 : x
  2. Step 2: Convert to fraction form
    64,041,710/137,809,737 = 137,809,737/x
  3. Step 3: Cross multiply
    64,041,710x = 137,809,737 × 137,809,737
  4. Step 4: Simplify right side
    64,041,710x = 18,991,523,612,009,168
  5. Step 5: Solve for x
    x = 18,991,523,612,009,168/64,041,710
  6. Step 6: Final answer
    x = 296,549,289.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.