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Finding the Third Proportional to 6,170,739,638 and 9,400,484,271

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Solution

The third proportional to 6,170,739,638 and 9,400,484,271 is: 14,320,666,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,739,638 : 9,400,484,271 = 9,400,484,271 : x
  2. Step 2: Convert to fraction form
    6,170,739,638/9,400,484,271 = 9,400,484,271/x
  3. Step 3: Cross multiply
    6,170,739,638x = 9,400,484,271 × 9,400,484,271
  4. Step 4: Simplify right side
    6,170,739,638x = 88,369,104,529,318,395,904
  5. Step 5: Solve for x
    x = 88,369,104,529,318,395,904/6,170,739,638
  6. Step 6: Final answer
    x = 14,320,666,518.67

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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.