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Finding the Third Proportional to 6,802,749 and 10,312,101

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Solution

The third proportional to 6,802,749 and 10,312,101 is: 15,631,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,749 : 10,312,101 = 10,312,101 : x
  2. Step 2: Convert to fraction form
    6,802,749/10,312,101 = 10,312,101/x
  3. Step 3: Cross multiply
    6,802,749x = 10,312,101 × 10,312,101
  4. Step 4: Simplify right side
    6,802,749x = 106,339,427,034,201
  5. Step 5: Solve for x
    x = 106,339,427,034,201/6,802,749
  6. Step 6: Final answer
    x = 15,631,831.64

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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.