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Finding the Third Proportional to 1,693,836,148 and 3,669,070,184

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Solution

The third proportional to 1,693,836,148 and 3,669,070,184 is: 7,947,684,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,836,148 : 3,669,070,184 = 3,669,070,184 : x
  2. Step 2: Convert to fraction form
    1,693,836,148/3,669,070,184 = 3,669,070,184/x
  3. Step 3: Cross multiply
    1,693,836,148x = 3,669,070,184 × 3,669,070,184
  4. Step 4: Simplify right side
    1,693,836,148x = 13,462,076,015,117,793,280
  5. Step 5: Solve for x
    x = 13,462,076,015,117,793,280/1,693,836,148
  6. Step 6: Final answer
    x = 7,947,684,922.78

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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.