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Finding the Third Proportional to 6,170,739,452 and 9,400,483,984

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Solution

The third proportional to 6,170,739,452 and 9,400,483,984 is: 14,320,666,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,739,452 : 9,400,483,984 = 9,400,483,984 : x
  2. Step 2: Convert to fraction form
    6,170,739,452/9,400,483,984 = 9,400,483,984/x
  3. Step 3: Cross multiply
    6,170,739,452x = 9,400,483,984 × 9,400,483,984
  4. Step 4: Simplify right side
    6,170,739,452x = 88,369,099,133,440,507,904
  5. Step 5: Solve for x
    x = 88,369,099,133,440,507,904/6,170,739,452
  6. Step 6: Final answer
    x = 14,320,666,075.89

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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.