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Finding the Third Proportional to 816,768,576 and 1,792,234,944

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Solution

The third proportional to 816,768,576 and 1,792,234,944 is: 3,932,700,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,768,576 : 1,792,234,944 = 1,792,234,944 : x
  2. Step 2: Convert to fraction form
    816,768,576/1,792,234,944 = 1,792,234,944/x
  3. Step 3: Cross multiply
    816,768,576x = 1,792,234,944 × 1,792,234,944
  4. Step 4: Simplify right side
    816,768,576x = 3,212,106,094,494,683,136
  5. Step 5: Solve for x
    x = 3,212,106,094,494,683,136/816,768,576
  6. Step 6: Final answer
    x = 3,932,700,386.47

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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.