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Finding the Third Proportional to 6,802,709 and 10,312,037

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Solution

The third proportional to 6,802,709 and 10,312,037 is: 15,631,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,709 : 10,312,037 = 10,312,037 : x
  2. Step 2: Convert to fraction form
    6,802,709/10,312,037 = 10,312,037/x
  3. Step 3: Cross multiply
    6,802,709x = 10,312,037 × 10,312,037
  4. Step 4: Simplify right side
    6,802,709x = 106,338,107,089,369
  5. Step 5: Solve for x
    x = 106,338,107,089,369/6,802,709
  6. Step 6: Final answer
    x = 15,631,729.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.