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Finding the Third Proportional to 468,683,021 and 1,020,686,368

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Solution

The third proportional to 468,683,021 and 1,020,686,368 is: 2,222,825,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,683,021 : 1,020,686,368 = 1,020,686,368 : x
  2. Step 2: Convert to fraction form
    468,683,021/1,020,686,368 = 1,020,686,368/x
  3. Step 3: Cross multiply
    468,683,021x = 1,020,686,368 × 1,020,686,368
  4. Step 4: Simplify right side
    468,683,021x = 1,041,800,661,821,031,424
  5. Step 5: Solve for x
    x = 1,041,800,661,821,031,424/468,683,021
  6. Step 6: Final answer
    x = 2,222,825,694.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.