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Finding the Third Proportional to 5,457,243 and 11,882,656.50

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Solution

The third proportional to 5,457,243 and 11,882,656.50 is: 25,873,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457,243 : 11,882,656.50 = 11,882,656.50 : x
  2. Step 2: Convert to fraction form
    5,457,243/11,882,656.50 = 11,882,656.50/x
  3. Step 3: Cross multiply
    5,457,243x = 11,882,656.50 × 11,882,656.50
  4. Step 4: Simplify right side
    5,457,243x = 141,197,525,496,992.25
  5. Step 5: Solve for x
    x = 141,197,525,496,992.25/5,457,243
  6. Step 6: Final answer
    x = 25,873,417.31

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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.