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Finding the Third Proportional to 1,899,047,574 and 4,048,933,356

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Solution

The third proportional to 1,899,047,574 and 4,048,933,356 is: 8,632,675,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899,047,574 : 4,048,933,356 = 4,048,933,356 : x
  2. Step 2: Convert to fraction form
    1,899,047,574/4,048,933,356 = 4,048,933,356/x
  3. Step 3: Cross multiply
    1,899,047,574x = 4,048,933,356 × 4,048,933,356
  4. Step 4: Simplify right side
    1,899,047,574x = 16,393,861,321,329,422,336
  5. Step 5: Solve for x
    x = 16,393,861,321,329,422,336/1,899,047,574
  6. Step 6: Final answer
    x = 8,632,675,424.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.