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Finding the Third Proportional to 1,892,097,904 and 4,045,681,936

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Solution

The third proportional to 1,892,097,904 and 4,045,681,936 is: 8,650,473,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892,097,904 : 4,045,681,936 = 4,045,681,936 : x
  2. Step 2: Convert to fraction form
    1,892,097,904/4,045,681,936 = 4,045,681,936/x
  3. Step 3: Cross multiply
    1,892,097,904x = 4,045,681,936 × 4,045,681,936
  4. Step 4: Simplify right side
    1,892,097,904x = 16,367,542,327,276,707,840
  5. Step 5: Solve for x
    x = 16,367,542,327,276,707,840/1,892,097,904
  6. Step 6: Final answer
    x = 8,650,473,261.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.