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Finding the Third Proportional to 5,048,563 and 11,010,913.75

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Solution

The third proportional to 5,048,563 and 11,010,913.75 is: 24,014,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048,563 : 11,010,913.75 = 11,010,913.75 : x
  2. Step 2: Convert to fraction form
    5,048,563/11,010,913.75 = 11,010,913.75/x
  3. Step 3: Cross multiply
    5,048,563x = 11,010,913.75 × 11,010,913.75
  4. Step 4: Simplify right side
    5,048,563x = 121,240,221,609,939.06
  5. Step 5: Solve for x
    x = 121,240,221,609,939.06/5,048,563
  6. Step 6: Final answer
    x = 24,014,798.19

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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.