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Finding the Third Proportional to 726,736,651.88 and 1,594,171,085.63

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Solution

The third proportional to 726,736,651.88 and 1,594,171,085.63 is: 3,496,977,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,736,651.88 : 1,594,171,085.63 = 1,594,171,085.63 : x
  2. Step 2: Convert to fraction form
    726,736,651.88/1,594,171,085.63 = 1,594,171,085.63/x
  3. Step 3: Cross multiply
    726,736,651.88x = 1,594,171,085.63 × 1,594,171,085.63
  4. Step 4: Simplify right side
    726,736,651.88x = 2,541,381,450,242,790,912
  5. Step 5: Solve for x
    x = 2,541,381,450,242,790,912/726,736,651.88
  6. Step 6: Final answer
    x = 3,496,977,128.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.