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Finding the Third Proportional to 7,456,144 and 16,307,856

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Solution

The third proportional to 7,456,144 and 16,307,856 is: 35,668,056.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456,144 : 16,307,856 = 16,307,856 : x
  2. Step 2: Convert to fraction form
    7,456,144/16,307,856 = 16,307,856/x
  3. Step 3: Cross multiply
    7,456,144x = 16,307,856 × 16,307,856
  4. Step 4: Simplify right side
    7,456,144x = 265,946,167,316,736
  5. Step 5: Solve for x
    x = 265,946,167,316,736/7,456,144
  6. Step 6: Final answer
    x = 35,668,056.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.