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Finding the Third Proportional to 7,338,576 and 10,792,160

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Solution

The third proportional to 7,338,576 and 10,792,160 is: 15,871,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338,576 : 10,792,160 = 10,792,160 : x
  2. Step 2: Convert to fraction form
    7,338,576/10,792,160 = 10,792,160/x
  3. Step 3: Cross multiply
    7,338,576x = 10,792,160 × 10,792,160
  4. Step 4: Simplify right side
    7,338,576x = 116,470,717,465,600
  5. Step 5: Solve for x
    x = 116,470,717,465,600/7,338,576
  6. Step 6: Final answer
    x = 15,871,024.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.