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Finding the Third Proportional to 429,361,732 and 943,072,328

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Solution

The third proportional to 429,361,732 and 943,072,328 is: 2,071,412,866.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,361,732 : 943,072,328 = 943,072,328 : x
  2. Step 2: Convert to fraction form
    429,361,732/943,072,328 = 943,072,328/x
  3. Step 3: Cross multiply
    429,361,732x = 943,072,328 × 943,072,328
  4. Step 4: Simplify right side
    429,361,732x = 889,385,415,839,339,520
  5. Step 5: Solve for x
    x = 889,385,415,839,339,520/429,361,732
  6. Step 6: Final answer
    x = 2,071,412,866.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.