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Finding the Third Proportional to 6,117,447,685.50 and 9,446,409,819

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Solution

The third proportional to 6,117,447,685.50 and 9,446,409,819 is: 14,586,909,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117,447,685.50 : 9,446,409,819 = 9,446,409,819 : x
  2. Step 2: Convert to fraction form
    6,117,447,685.50/9,446,409,819 = 9,446,409,819/x
  3. Step 3: Cross multiply
    6,117,447,685.50x = 9,446,409,819 × 9,446,409,819
  4. Step 4: Simplify right side
    6,117,447,685.50x = 89,234,658,468,499,619,840
  5. Step 5: Solve for x
    x = 89,234,658,468,499,619,840/6,117,447,685.50
  6. Step 6: Final answer
    x = 14,586,909,942.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.