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Finding the Third Proportional to 334,559,840 and 470,302,016

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Solution

The third proportional to 334,559,840 and 470,302,016 is: 661,119,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,559,840 : 470,302,016 = 470,302,016 : x
  2. Step 2: Convert to fraction form
    334,559,840/470,302,016 = 470,302,016/x
  3. Step 3: Cross multiply
    334,559,840x = 470,302,016 × 470,302,016
  4. Step 4: Simplify right side
    334,559,840x = 221,183,986,253,664,256
  5. Step 5: Solve for x
    x = 221,183,986,253,664,256/334,559,840
  6. Step 6: Final answer
    x = 661,119,356.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.