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Finding the Third Proportional to 7,268,911,713 and 15,811,411,977

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Solution

The third proportional to 7,268,911,713 and 15,811,411,977 is: 34,393,146,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,911,713 : 15,811,411,977 = 15,811,411,977 : x
  2. Step 2: Convert to fraction form
    7,268,911,713/15,811,411,977 = 15,811,411,977/x
  3. Step 3: Cross multiply
    7,268,911,713x = 15,811,411,977 × 15,811,411,977
  4. Step 4: Simplify right side
    7,268,911,713x = 250,000,748,706,419,048,448
  5. Step 5: Solve for x
    x = 250,000,748,706,419,048,448/7,268,911,713
  6. Step 6: Final answer
    x = 34,393,146,949.26

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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.