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Finding the Third Proportional to 11,816,511 and 25,649,724

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Solution

The third proportional to 11,816,511 and 25,649,724 is: 55,677,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816,511 : 25,649,724 = 25,649,724 : x
  2. Step 2: Convert to fraction form
    11,816,511/25,649,724 = 25,649,724/x
  3. Step 3: Cross multiply
    11,816,511x = 25,649,724 × 25,649,724
  4. Step 4: Simplify right side
    11,816,511x = 657,908,341,276,176
  5. Step 5: Solve for x
    x = 657,908,341,276,176/11,816,511
  6. Step 6: Final answer
    x = 55,677,038.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.