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Finding the Third Proportional to 1,284,905,368 and 1,733,639,014

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Solution

The third proportional to 1,284,905,368 and 1,733,639,014 is: 2,339,086,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,905,368 : 1,733,639,014 = 1,733,639,014 : x
  2. Step 2: Convert to fraction form
    1,284,905,368/1,733,639,014 = 1,733,639,014/x
  3. Step 3: Cross multiply
    1,284,905,368x = 1,733,639,014 × 1,733,639,014
  4. Step 4: Simplify right side
    1,284,905,368x = 3,005,504,230,862,892,032
  5. Step 5: Solve for x
    x = 3,005,504,230,862,892,032/1,284,905,368
  6. Step 6: Final answer
    x = 2,339,086,057.01

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.