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Finding the Third Proportional to 4,285,586.25 and 9,152,384.63

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Solution

The third proportional to 4,285,586.25 and 9,152,384.63 is: 19,546,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285,586.25 : 9,152,384.63 = 9,152,384.63 : x
  2. Step 2: Convert to fraction form
    4,285,586.25/9,152,384.63 = 9,152,384.63/x
  3. Step 3: Cross multiply
    4,285,586.25x = 9,152,384.63 × 9,152,384.63
  4. Step 4: Simplify right side
    4,285,586.25x = 83,766,144,323,936.39
  5. Step 5: Solve for x
    x = 83,766,144,323,936.39/4,285,586.25
  6. Step 6: Final answer
    x = 19,546,017.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.