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Finding the Third Proportional to 5,330,526 and 11,698,176

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Solution

The third proportional to 5,330,526 and 11,698,176 is: 25,672,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330,526 : 11,698,176 = 11,698,176 : x
  2. Step 2: Convert to fraction form
    5,330,526/11,698,176 = 11,698,176/x
  3. Step 3: Cross multiply
    5,330,526x = 11,698,176 × 11,698,176
  4. Step 4: Simplify right side
    5,330,526x = 136,847,321,726,976
  5. Step 5: Solve for x
    x = 136,847,321,726,976/5,330,526
  6. Step 6: Final answer
    x = 25,672,386.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.