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Finding the Third Proportional to 6,465,792 and 10,143,360

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Solution

The third proportional to 6,465,792 and 10,143,360 is: 15,912,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465,792 : 10,143,360 = 10,143,360 : x
  2. Step 2: Convert to fraction form
    6,465,792/10,143,360 = 10,143,360/x
  3. Step 3: Cross multiply
    6,465,792x = 10,143,360 × 10,143,360
  4. Step 4: Simplify right side
    6,465,792x = 102,887,752,089,600
  5. Step 5: Solve for x
    x = 102,887,752,089,600/6,465,792
  6. Step 6: Final answer
    x = 15,912,629.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.