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Finding the Third Proportional to 882,816,025 and 1,892,382,571.50

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Solution

The third proportional to 882,816,025 and 1,892,382,571.50 is: 4,056,464,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,816,025 : 1,892,382,571.50 = 1,892,382,571.50 : x
  2. Step 2: Convert to fraction form
    882,816,025/1,892,382,571.50 = 1,892,382,571.50/x
  3. Step 3: Cross multiply
    882,816,025x = 1,892,382,571.50 × 1,892,382,571.50
  4. Step 4: Simplify right side
    882,816,025x = 3,581,111,796,916,952,576
  5. Step 5: Solve for x
    x = 3,581,111,796,916,952,576/882,816,025
  6. Step 6: Final answer
    x = 4,056,464,422.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.