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Finding the Third Proportional to 1,693,836,146 and 3,669,070,180

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Solution

The third proportional to 1,693,836,146 and 3,669,070,180 is: 7,947,684,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,836,146 : 3,669,070,180 = 3,669,070,180 : x
  2. Step 2: Convert to fraction form
    1,693,836,146/3,669,070,180 = 3,669,070,180/x
  3. Step 3: Cross multiply
    1,693,836,146x = 3,669,070,180 × 3,669,070,180
  4. Step 4: Simplify right side
    1,693,836,146x = 13,462,075,985,765,232,640
  5. Step 5: Solve for x
    x = 13,462,075,985,765,232,640/1,693,836,146
  6. Step 6: Final answer
    x = 7,947,684,914.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.