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Finding the Third Proportional to 433,165,469 and 945,707,534

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Solution

The third proportional to 433,165,469 and 945,707,534 is: 2,064,713,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,165,469 : 945,707,534 = 945,707,534 : x
  2. Step 2: Convert to fraction form
    433,165,469/945,707,534 = 945,707,534/x
  3. Step 3: Cross multiply
    433,165,469x = 945,707,534 × 945,707,534
  4. Step 4: Simplify right side
    433,165,469x = 894,362,739,864,361,216
  5. Step 5: Solve for x
    x = 894,362,739,864,361,216/433,165,469
  6. Step 6: Final answer
    x = 2,064,713,842.33

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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.