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Finding the Third Proportional to 11,816,523 and 25,649,743.50

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Solution

The third proportional to 11,816,523 and 25,649,743.50 is: 55,677,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816,523 : 25,649,743.50 = 25,649,743.50 : x
  2. Step 2: Convert to fraction form
    11,816,523/25,649,743.50 = 25,649,743.50/x
  3. Step 3: Cross multiply
    11,816,523x = 25,649,743.50 × 25,649,743.50
  4. Step 4: Simplify right side
    11,816,523x = 657,909,341,615,792.25
  5. Step 5: Solve for x
    x = 657,909,341,615,792.25/11,816,523
  6. Step 6: Final answer
    x = 55,677,066.90

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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.