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Finding the Third Proportional to 1,283,226,359 and 2,750,621,605

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Solution

The third proportional to 1,283,226,359 and 2,750,621,605 is: 5,896,012,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,359 : 2,750,621,605 = 2,750,621,605 : x
  2. Step 2: Convert to fraction form
    1,283,226,359/2,750,621,605 = 2,750,621,605/x
  3. Step 3: Cross multiply
    1,283,226,359x = 2,750,621,605 × 2,750,621,605
  4. Step 4: Simplify right side
    1,283,226,359x = 7,565,919,213,892,775,936
  5. Step 5: Solve for x
    x = 7,565,919,213,892,775,936/1,283,226,359
  6. Step 6: Final answer
    x = 5,896,012,937.10

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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.