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Finding the Third Proportional to 10,023,858 and 15,270,783

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Solution

The third proportional to 10,023,858 and 15,270,783 is: 23,264,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023,858 : 15,270,783 = 15,270,783 : x
  2. Step 2: Convert to fraction form
    10,023,858/15,270,783 = 15,270,783/x
  3. Step 3: Cross multiply
    10,023,858x = 15,270,783 × 15,270,783
  4. Step 4: Simplify right side
    10,023,858x = 233,196,813,433,089
  5. Step 5: Solve for x
    x = 233,196,813,433,089/10,023,858
  6. Step 6: Final answer
    x = 23,264,177.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.