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Finding the Third Proportional to 9,199,716,638 and 20,011,318,798

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Solution

The third proportional to 9,199,716,638 and 20,011,318,798 is: 43,528,827,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,716,638 : 20,011,318,798 = 20,011,318,798 : x
  2. Step 2: Convert to fraction form
    9,199,716,638/20,011,318,798 = 20,011,318,798/x
  3. Step 3: Cross multiply
    9,199,716,638x = 20,011,318,798 × 20,011,318,798
  4. Step 4: Simplify right side
    9,199,716,638x = 400,452,880,035,188,178,944
  5. Step 5: Solve for x
    x = 400,452,880,035,188,178,944/9,199,716,638
  6. Step 6: Final answer
    x = 43,528,827,657.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.