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Finding the Third Proportional to 8,509,647 and 12,773,176.50

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Solution

The third proportional to 8,509,647 and 12,773,176.50 is: 19,172,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,647 : 12,773,176.50 = 12,773,176.50 : x
  2. Step 2: Convert to fraction form
    8,509,647/12,773,176.50 = 12,773,176.50/x
  3. Step 3: Cross multiply
    8,509,647x = 12,773,176.50 × 12,773,176.50
  4. Step 4: Simplify right side
    8,509,647x = 163,154,037,900,152.25
  5. Step 5: Solve for x
    x = 163,154,037,900,152.25/8,509,647
  6. Step 6: Final answer
    x = 19,172,832.66

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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.