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Finding the Third Proportional to 1,261,808,928 and 2,761,083,410

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Solution

The third proportional to 1,261,808,928 and 2,761,083,410 is: 6,041,787,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,808,928 : 2,761,083,410 = 2,761,083,410 : x
  2. Step 2: Convert to fraction form
    1,261,808,928/2,761,083,410 = 2,761,083,410/x
  3. Step 3: Cross multiply
    1,261,808,928x = 2,761,083,410 × 2,761,083,410
  4. Step 4: Simplify right side
    1,261,808,928x = 7,623,581,596,977,227,776
  5. Step 5: Solve for x
    x = 7,623,581,596,977,227,776/1,261,808,928
  6. Step 6: Final answer
    x = 6,041,787,649.31

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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.