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Finding the Third Proportional to 9,199,716,632 and 20,011,318,786

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Solution

The third proportional to 9,199,716,632 and 20,011,318,786 is: 43,528,827,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199,716,632 : 20,011,318,786 = 20,011,318,786 : x
  2. Step 2: Convert to fraction form
    9,199,716,632/20,011,318,786 = 20,011,318,786/x
  3. Step 3: Cross multiply
    9,199,716,632x = 20,011,318,786 × 20,011,318,786
  4. Step 4: Simplify right side
    9,199,716,632x = 400,452,879,554,916,515,840
  5. Step 5: Solve for x
    x = 400,452,879,554,916,515,840/9,199,716,632
  6. Step 6: Final answer
    x = 43,528,827,633.89

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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.