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Finding the Third Proportional to 429,361,736 and 943,072,336

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Solution

The third proportional to 429,361,736 and 943,072,336 is: 2,071,412,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,361,736 : 943,072,336 = 943,072,336 : x
  2. Step 2: Convert to fraction form
    429,361,736/943,072,336 = 943,072,336/x
  3. Step 3: Cross multiply
    429,361,736x = 943,072,336 × 943,072,336
  4. Step 4: Simplify right side
    429,361,736x = 889,385,430,928,496,896
  5. Step 5: Solve for x
    x = 889,385,430,928,496,896/429,361,736
  6. Step 6: Final answer
    x = 2,071,412,881.86

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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.