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Finding the Third Proportional to 876,340,511 and 1,364,761,830

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Solution

The third proportional to 876,340,511 and 1,364,761,830 is: 2,125,400,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,340,511 : 1,364,761,830 = 1,364,761,830 : x
  2. Step 2: Convert to fraction form
    876,340,511/1,364,761,830 = 1,364,761,830/x
  3. Step 3: Cross multiply
    876,340,511x = 1,364,761,830 × 1,364,761,830
  4. Step 4: Simplify right side
    876,340,511x = 1,862,574,852,624,948,992
  5. Step 5: Solve for x
    x = 1,862,574,852,624,948,992/876,340,511
  6. Step 6: Final answer
    x = 2,125,400,833.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.