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Finding the Third Proportional to 8,509,770 and 12,734,581.50

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Solution

The third proportional to 8,509,770 and 12,734,581.50 is: 19,056,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,770 : 12,734,581.50 = 12,734,581.50 : x
  2. Step 2: Convert to fraction form
    8,509,770/12,734,581.50 = 12,734,581.50/x
  3. Step 3: Cross multiply
    8,509,770x = 12,734,581.50 × 12,734,581.50
  4. Step 4: Simplify right side
    8,509,770x = 162,169,565,980,142.25
  5. Step 5: Solve for x
    x = 162,169,565,980,142.25/8,509,770
  6. Step 6: Final answer
    x = 19,056,868.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.