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Finding the Third Proportional to 8,509,773 and 12,734,586

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Solution

The third proportional to 8,509,773 and 12,734,586 is: 19,056,875.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,773 : 12,734,586 = 12,734,586 : x
  2. Step 2: Convert to fraction form
    8,509,773/12,734,586 = 12,734,586/x
  3. Step 3: Cross multiply
    8,509,773x = 12,734,586 × 12,734,586
  4. Step 4: Simplify right side
    8,509,773x = 162,169,680,591,396
  5. Step 5: Solve for x
    x = 162,169,680,591,396/8,509,773
  6. Step 6: Final answer
    x = 19,056,875.03

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Why These Related Problems?

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