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Finding the Third Proportional to 5,685,696 and 12,316,176

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Solution

The third proportional to 5,685,696 and 12,316,176 is: 26,678,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,696 : 12,316,176 = 12,316,176 : x
  2. Step 2: Convert to fraction form
    5,685,696/12,316,176 = 12,316,176/x
  3. Step 3: Cross multiply
    5,685,696x = 12,316,176 × 12,316,176
  4. Step 4: Simplify right side
    5,685,696x = 151,688,191,262,976
  5. Step 5: Solve for x
    x = 151,688,191,262,976/5,685,696
  6. Step 6: Final answer
    x = 26,678,913.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.