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Finding the Third Proportional to 2,285,216,203 and 4,634,687,483

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Solution

The third proportional to 2,285,216,203 and 4,634,687,483 is: 9,399,691,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,216,203 : 4,634,687,483 = 4,634,687,483 : x
  2. Step 2: Convert to fraction form
    2,285,216,203/4,634,687,483 = 4,634,687,483/x
  3. Step 3: Cross multiply
    2,285,216,203x = 4,634,687,483 × 4,634,687,483
  4. Step 4: Simplify right side
    2,285,216,203x = 21,480,328,065,076,875,264
  5. Step 5: Solve for x
    x = 21,480,328,065,076,875,264/2,285,216,203
  6. Step 6: Final answer
    x = 9,399,691,826.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.