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Finding the Third Proportional to 9,468,306 and 20,384,643.94

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Solution

The third proportional to 9,468,306 and 20,384,643.94 is: 43,886,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,306 : 20,384,643.94 = 20,384,643.94 : x
  2. Step 2: Convert to fraction form
    9,468,306/20,384,643.94 = 20,384,643.94/x
  3. Step 3: Cross multiply
    9,468,306x = 20,384,643.94 × 20,384,643.94
  4. Step 4: Simplify right side
    9,468,306x = 415,533,708,458,655.50
  5. Step 5: Solve for x
    x = 415,533,708,458,655.50/9,468,306
  6. Step 6: Final answer
    x = 43,886,805.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.