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Finding the Third Proportional to 832,758,846.22 and 1,828,969,937.65

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Solution

The third proportional to 832,758,846.22 and 1,828,969,937.65 is: 4,016,926,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,758,846.22 : 1,828,969,937.65 = 1,828,969,937.65 : x
  2. Step 2: Convert to fraction form
    832,758,846.22/1,828,969,937.65 = 1,828,969,937.65/x
  3. Step 3: Cross multiply
    832,758,846.22x = 1,828,969,937.65 × 1,828,969,937.65
  4. Step 4: Simplify right side
    832,758,846.22x = 3,345,131,032,821,592,576
  5. Step 5: Solve for x
    x = 3,345,131,032,821,592,576/832,758,846.22
  6. Step 6: Final answer
    x = 4,016,926,446.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.