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Finding the Third Proportional to 8,509,654 and 12,773,187

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Solution

The third proportional to 8,509,654 and 12,773,187 is: 19,172,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,654 : 12,773,187 = 12,773,187 : x
  2. Step 2: Convert to fraction form
    8,509,654/12,773,187 = 12,773,187/x
  3. Step 3: Cross multiply
    8,509,654x = 12,773,187 × 12,773,187
  4. Step 4: Simplify right side
    8,509,654x = 163,154,306,136,969
  5. Step 5: Solve for x
    x = 163,154,306,136,969/8,509,654
  6. Step 6: Final answer
    x = 19,172,848.41

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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.