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Finding the Third Proportional to 1,803,170,076 and 2,718,945,216

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Solution

The third proportional to 1,803,170,076 and 2,718,945,216 is: 4,099,814,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803,170,076 : 2,718,945,216 = 2,718,945,216 : x
  2. Step 2: Convert to fraction form
    1,803,170,076/2,718,945,216 = 2,718,945,216/x
  3. Step 3: Cross multiply
    1,803,170,076x = 2,718,945,216 × 2,718,945,216
  4. Step 4: Simplify right side
    1,803,170,076x = 7,392,663,087,609,286,656
  5. Step 5: Solve for x
    x = 7,392,663,087,609,286,656/1,803,170,076
  6. Step 6: Final answer
    x = 4,099,814,646.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.