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Finding the Third Proportional to 1,283,226,314 and 2,750,621,518

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Solution

The third proportional to 1,283,226,314 and 2,750,621,518 is: 5,896,012,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,314 : 2,750,621,518 = 2,750,621,518 : x
  2. Step 2: Convert to fraction form
    1,283,226,314/2,750,621,518 = 2,750,621,518/x
  3. Step 3: Cross multiply
    1,283,226,314x = 2,750,621,518 × 2,750,621,518
  4. Step 4: Simplify right side
    1,283,226,314x = 7,565,918,735,284,624,384
  5. Step 5: Solve for x
    x = 7,565,918,735,284,624,384/1,283,226,314
  6. Step 6: Final answer
    x = 5,896,012,770.89

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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.