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Finding the Third Proportional to 2,396,074,988,583 and 4,858,823,562,543

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Solution

The third proportional to 2,396,074,988,583 and 4,858,823,562,543 is: 9,852,849,566,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396,074,988,583 : 4,858,823,562,543 = 4,858,823,562,543 : x
  2. Step 2: Convert to fraction form
    2,396,074,988,583/4,858,823,562,543 = 4,858,823,562,543/x
  3. Step 3: Cross multiply
    2,396,074,988,583x = 4,858,823,562,543 × 4,858,823,562,543
  4. Step 4: Simplify right side
    2,396,074,988,583x = 23,608,166,411,923,051,679,580,160
  5. Step 5: Solve for x
    x = 23,608,166,411,923,051,679,580,160/2,396,074,988,583
  6. Step 6: Final answer
    x = 9,852,849,566,233.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.