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Finding the Third Proportional to 35,984,763 and 78,358,806

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Solution

The third proportional to 35,984,763 and 78,358,806 is: 170,630,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984,763 : 78,358,806 = 78,358,806 : x
  2. Step 2: Convert to fraction form
    35,984,763/78,358,806 = 78,358,806/x
  3. Step 3: Cross multiply
    35,984,763x = 78,358,806 × 78,358,806
  4. Step 4: Simplify right side
    35,984,763x = 6,140,102,477,745,636
  5. Step 5: Solve for x
    x = 6,140,102,477,745,636/35,984,763
  6. Step 6: Final answer
    x = 170,630,621.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.