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Finding the Third Proportional to 1,283,226,353 and 2,750,621,593

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Solution

The third proportional to 1,283,226,353 and 2,750,621,593 is: 5,896,012,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,353 : 2,750,621,593 = 2,750,621,593 : x
  2. Step 2: Convert to fraction form
    1,283,226,353/2,750,621,593 = 2,750,621,593/x
  3. Step 3: Cross multiply
    1,283,226,353x = 2,750,621,593 × 2,750,621,593
  4. Step 4: Simplify right side
    1,283,226,353x = 7,565,919,147,877,857,280
  5. Step 5: Solve for x
    x = 7,565,919,147,877,857,280/1,283,226,353
  6. Step 6: Final answer
    x = 5,896,012,913.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.