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Finding the Third Proportional to 1,855,019,250 and 4,000,580,964

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Solution

The third proportional to 1,855,019,250 and 4,000,580,964 is: 8,627,753,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,019,250 : 4,000,580,964 = 4,000,580,964 : x
  2. Step 2: Convert to fraction form
    1,855,019,250/4,000,580,964 = 4,000,580,964/x
  3. Step 3: Cross multiply
    1,855,019,250x = 4,000,580,964 × 4,000,580,964
  4. Step 4: Simplify right side
    1,855,019,250x = 16,004,648,049,519,169,536
  5. Step 5: Solve for x
    x = 16,004,648,049,519,169,536/1,855,019,250
  6. Step 6: Final answer
    x = 8,627,753,081.01

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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.