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Finding the Third Proportional to 1,007,126,844,891.80 and 2,190,712,960,842.80

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Solution

The third proportional to 1,007,126,844,891.80 and 2,190,712,960,842.80 is: 4,765,261,993,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,126,844,891.80 : 2,190,712,960,842.80 = 2,190,712,960,842.80 : x
  2. Step 2: Convert to fraction form
    1,007,126,844,891.80/2,190,712,960,842.80 = 2,190,712,960,842.80/x
  3. Step 3: Cross multiply
    1,007,126,844,891.80x = 2,190,712,960,842.80 × 2,190,712,960,842.80
  4. Step 4: Simplify right side
    1,007,126,844,891.80x = 4,799,223,276,804,627,503,251,456
  5. Step 5: Solve for x
    x = 4,799,223,276,804,627,503,251,456/1,007,126,844,891.80
  6. Step 6: Final answer
    x = 4,765,261,993,706.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.