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Finding the Third Proportional to 1,968,653,424 and 2,878,240,086

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Solution

The third proportional to 1,968,653,424 and 2,878,240,086 is: 4,208,087,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,653,424 : 2,878,240,086 = 2,878,240,086 : x
  2. Step 2: Convert to fraction form
    1,968,653,424/2,878,240,086 = 2,878,240,086/x
  3. Step 3: Cross multiply
    1,968,653,424x = 2,878,240,086 × 2,878,240,086
  4. Step 4: Simplify right side
    1,968,653,424x = 8,284,265,992,657,287,168
  5. Step 5: Solve for x
    x = 8,284,265,992,657,287,168/1,968,653,424
  6. Step 6: Final answer
    x = 4,208,087,564.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.