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Finding the Third Proportional to 683,223,576,488 and 1,422,997,153,144

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Solution

The third proportional to 683,223,576,488 and 1,422,997,153,144 is: 2,963,774,915,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,223,576,488 : 1,422,997,153,144 = 1,422,997,153,144 : x
  2. Step 2: Convert to fraction form
    683,223,576,488/1,422,997,153,144 = 1,422,997,153,144/x
  3. Step 3: Cross multiply
    683,223,576,488x = 1,422,997,153,144 × 1,422,997,153,144
  4. Step 4: Simplify right side
    683,223,576,488x = 2,024,920,897,855,928,531,943,424
  5. Step 5: Solve for x
    x = 2,024,920,897,855,928,531,943,424/683,223,576,488
  6. Step 6: Final answer
    x = 2,963,774,915,767.26

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.