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Finding the Third Proportional to 582,043,908,850 and 1,273,811,891,384

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Solution

The third proportional to 582,043,908,850 and 1,273,811,891,384 is: 2,787,756,576,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,043,908,850 : 1,273,811,891,384 = 1,273,811,891,384 : x
  2. Step 2: Convert to fraction form
    582,043,908,850/1,273,811,891,384 = 1,273,811,891,384/x
  3. Step 3: Cross multiply
    582,043,908,850x = 1,273,811,891,384 × 1,273,811,891,384
  4. Step 4: Simplify right side
    582,043,908,850x = 1,622,596,734,631,283,425,017,856
  5. Step 5: Solve for x
    x = 1,622,596,734,631,283,425,017,856/582,043,908,850
  6. Step 6: Final answer
    x = 2,787,756,576,367.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.