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Finding the Third Proportional to 430,933,862 and 668,631,647

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Solution

The third proportional to 430,933,862 and 668,631,647 is: 1,037,440,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,933,862 : 668,631,647 = 668,631,647 : x
  2. Step 2: Convert to fraction form
    430,933,862/668,631,647 = 668,631,647/x
  3. Step 3: Cross multiply
    430,933,862x = 668,631,647 × 668,631,647
  4. Step 4: Simplify right side
    430,933,862x = 447,068,279,369,932,608
  5. Step 5: Solve for x
    x = 447,068,279,369,932,608/430,933,862
  6. Step 6: Final answer
    x = 1,037,440,588.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.