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Finding the Third Proportional to 1,866,518,618 and 3,999,270,319

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Solution

The third proportional to 1,866,518,618 and 3,999,270,319 is: 8,568,981,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,518,618 : 3,999,270,319 = 3,999,270,319 : x
  2. Step 2: Convert to fraction form
    1,866,518,618/3,999,270,319 = 3,999,270,319/x
  3. Step 3: Cross multiply
    1,866,518,618x = 3,999,270,319 × 3,999,270,319
  4. Step 4: Simplify right side
    1,866,518,618x = 15,994,163,084,434,362,368
  5. Step 5: Solve for x
    x = 15,994,163,084,434,362,368/1,866,518,618
  6. Step 6: Final answer
    x = 8,568,981,273.58

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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.