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Finding the Third Proportional to 11,102,720 and 25,701,196

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Solution

The third proportional to 11,102,720 and 25,701,196 is: 59,494,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102,720 : 25,701,196 = 25,701,196 : x
  2. Step 2: Convert to fraction form
    11,102,720/25,701,196 = 25,701,196/x
  3. Step 3: Cross multiply
    11,102,720x = 25,701,196 × 25,701,196
  4. Step 4: Simplify right side
    11,102,720x = 660,551,475,830,416
  5. Step 5: Solve for x
    x = 660,551,475,830,416/11,102,720
  6. Step 6: Final answer
    x = 59,494,563.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.