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Finding the Third Proportional to 1,684,557,657 and 3,635,466,884

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Solution

The third proportional to 1,684,557,657 and 3,635,466,884 is: 7,845,750,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,557,657 : 3,635,466,884 = 3,635,466,884 : x
  2. Step 2: Convert to fraction form
    1,684,557,657/3,635,466,884 = 3,635,466,884/x
  3. Step 3: Cross multiply
    1,684,557,657x = 3,635,466,884 × 3,635,466,884
  4. Step 4: Simplify right side
    1,684,557,657x = 13,216,619,464,660,670,464
  5. Step 5: Solve for x
    x = 13,216,619,464,660,670,464/1,684,557,657
  6. Step 6: Final answer
    x = 7,845,750,728.53

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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.