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Finding the Third Proportional to 6,149,976,697 and 9,184,664,737.50

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Solution

The third proportional to 6,149,976,697 and 9,184,664,737.50 is: 13,716,810,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,976,697 : 9,184,664,737.50 = 9,184,664,737.50 : x
  2. Step 2: Convert to fraction form
    6,149,976,697/9,184,664,737.50 = 9,184,664,737.50/x
  3. Step 3: Cross multiply
    6,149,976,697x = 9,184,664,737.50 × 9,184,664,737.50
  4. Step 4: Simplify right side
    6,149,976,697x = 84,358,066,340,275,945,472
  5. Step 5: Solve for x
    x = 84,358,066,340,275,945,472/6,149,976,697
  6. Step 6: Final answer
    x = 13,716,810,728.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.