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Finding the Third Proportional to 5,307,084 and 11,607,838

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Solution

The third proportional to 5,307,084 and 11,607,838 is: 25,389,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,084 : 11,607,838 = 11,607,838 : x
  2. Step 2: Convert to fraction form
    5,307,084/11,607,838 = 11,607,838/x
  3. Step 3: Cross multiply
    5,307,084x = 11,607,838 × 11,607,838
  4. Step 4: Simplify right side
    5,307,084x = 134,741,903,034,244
  5. Step 5: Solve for x
    x = 134,741,903,034,244/5,307,084
  6. Step 6: Final answer
    x = 25,389,065.45

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Why These Related Problems?

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