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Finding the Third Proportional to 10,089,886 and 15,666,476

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Solution

The third proportional to 10,089,886 and 15,666,476 is: 24,325,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089,886 : 15,666,476 = 15,666,476 : x
  2. Step 2: Convert to fraction form
    10,089,886/15,666,476 = 15,666,476/x
  3. Step 3: Cross multiply
    10,089,886x = 15,666,476 × 15,666,476
  4. Step 4: Simplify right side
    10,089,886x = 245,438,470,258,576
  5. Step 5: Solve for x
    x = 245,438,470,258,576/10,089,886
  6. Step 6: Final answer
    x = 24,325,197.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.