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Finding the Third Proportional to 28,696,989,206 and 40,394,074,826

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Solution

The third proportional to 28,696,989,206 and 40,394,074,826 is: 56,858,971,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,696,989,206 : 40,394,074,826 = 40,394,074,826 : x
  2. Step 2: Convert to fraction form
    28,696,989,206/40,394,074,826 = 40,394,074,826/x
  3. Step 3: Cross multiply
    28,696,989,206x = 40,394,074,826 × 40,394,074,826
  4. Step 4: Simplify right side
    28,696,989,206x = 1,631,681,281,048,486,871,040
  5. Step 5: Solve for x
    x = 1,631,681,281,048,486,871,040/28,696,989,206
  6. Step 6: Final answer
    x = 56,858,971,139.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.