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Finding the Third Proportional to 1,490,352,060 and 3,251,406,744

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Solution

The third proportional to 1,490,352,060 and 3,251,406,744 is: 7,093,388,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,352,060 : 3,251,406,744 = 3,251,406,744 : x
  2. Step 2: Convert to fraction form
    1,490,352,060/3,251,406,744 = 3,251,406,744/x
  3. Step 3: Cross multiply
    1,490,352,060x = 3,251,406,744 × 3,251,406,744
  4. Step 4: Simplify right side
    1,490,352,060x = 10,571,645,814,928,680,960
  5. Step 5: Solve for x
    x = 10,571,645,814,928,680,960/1,490,352,060
  6. Step 6: Final answer
    x = 7,093,388,266.21

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Why These Related Problems?

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