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Finding the Third Proportional to 10,257,351,570 and 15,325,645,851

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Solution

The third proportional to 10,257,351,570 and 15,325,645,851 is: 22,898,251,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,351,570 : 15,325,645,851 = 15,325,645,851 : x
  2. Step 2: Convert to fraction form
    10,257,351,570/15,325,645,851 = 15,325,645,851/x
  3. Step 3: Cross multiply
    10,257,351,570x = 15,325,645,851 × 15,325,645,851
  4. Step 4: Simplify right side
    10,257,351,570x = 234,875,420,750,273,511,424
  5. Step 5: Solve for x
    x = 234,875,420,750,273,511,424/10,257,351,570
  6. Step 6: Final answer
    x = 22,898,251,965.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.