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Finding the Third Proportional to 674,149,685 and 1,477,173,670

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Solution

The third proportional to 674,149,685 and 1,477,173,670 is: 3,236,732,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,149,685 : 1,477,173,670 = 1,477,173,670 : x
  2. Step 2: Convert to fraction form
    674,149,685/1,477,173,670 = 1,477,173,670/x
  3. Step 3: Cross multiply
    674,149,685x = 1,477,173,670 × 1,477,173,670
  4. Step 4: Simplify right side
    674,149,685x = 2,182,042,051,341,268,992
  5. Step 5: Solve for x
    x = 2,182,042,051,341,268,992/674,149,685
  6. Step 6: Final answer
    x = 3,236,732,286.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.