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Finding the Third Proportional to 1,517,603,184 and 3,513,032,589

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Solution

The third proportional to 1,517,603,184 and 3,513,032,589 is: 8,132,163,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,603,184 : 3,513,032,589 = 3,513,032,589 : x
  2. Step 2: Convert to fraction form
    1,517,603,184/3,513,032,589 = 3,513,032,589/x
  3. Step 3: Cross multiply
    1,517,603,184x = 3,513,032,589 × 3,513,032,589
  4. Step 4: Simplify right side
    1,517,603,184x = 12,341,397,971,376,041,984
  5. Step 5: Solve for x
    x = 12,341,397,971,376,041,984/1,517,603,184
  6. Step 6: Final answer
    x = 8,132,163,994.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.