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Finding the Third Proportional to 2,878,750,011 and 4,422,881,226

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Solution

The third proportional to 2,878,750,011 and 4,422,881,226 is: 6,795,268,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,750,011 : 4,422,881,226 = 4,422,881,226 : x
  2. Step 2: Convert to fraction form
    2,878,750,011/4,422,881,226 = 4,422,881,226/x
  3. Step 3: Cross multiply
    2,878,750,011x = 4,422,881,226 × 4,422,881,226
  4. Step 4: Simplify right side
    2,878,750,011x = 19,561,878,339,303,264,256
  5. Step 5: Solve for x
    x = 19,561,878,339,303,264,256/2,878,750,011
  6. Step 6: Final answer
    x = 6,795,268,177.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.