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Finding the Third Proportional to 1,684,557,655 and 3,635,466,880

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Solution

The third proportional to 1,684,557,655 and 3,635,466,880 is: 7,845,750,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,557,655 : 3,635,466,880 = 3,635,466,880 : x
  2. Step 2: Convert to fraction form
    1,684,557,655/3,635,466,880 = 3,635,466,880/x
  3. Step 3: Cross multiply
    1,684,557,655x = 3,635,466,880 × 3,635,466,880
  4. Step 4: Simplify right side
    1,684,557,655x = 13,216,619,435,576,934,400
  5. Step 5: Solve for x
    x = 13,216,619,435,576,934,400/1,684,557,655
  6. Step 6: Final answer
    x = 7,845,750,720.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.