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Finding the Third Proportional to 1,359,164,709,678 and 2,944,554,510,612

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Solution

The third proportional to 1,359,164,709,678 and 2,944,554,510,612 is: 6,379,213,059,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,164,709,678 : 2,944,554,510,612 = 2,944,554,510,612 : x
  2. Step 2: Convert to fraction form
    1,359,164,709,678/2,944,554,510,612 = 2,944,554,510,612/x
  3. Step 3: Cross multiply
    1,359,164,709,678x = 2,944,554,510,612 × 2,944,554,510,612
  4. Step 4: Simplify right side
    1,359,164,709,678x = 8,670,401,265,965,474,491,924,480
  5. Step 5: Solve for x
    x = 8,670,401,265,965,474,491,924,480/1,359,164,709,678
  6. Step 6: Final answer
    x = 6,379,213,059,482.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.