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Finding the Third Proportional to 1,490,352,062 and 3,251,406,748

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Solution

The third proportional to 1,490,352,062 and 3,251,406,748 is: 7,093,388,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,352,062 : 3,251,406,748 = 3,251,406,748 : x
  2. Step 2: Convert to fraction form
    1,490,352,062/3,251,406,748 = 3,251,406,748/x
  3. Step 3: Cross multiply
    1,490,352,062x = 3,251,406,748 × 3,251,406,748
  4. Step 4: Simplify right side
    1,490,352,062x = 10,571,645,840,939,935,744
  5. Step 5: Solve for x
    x = 10,571,645,840,939,935,744/1,490,352,062
  6. Step 6: Final answer
    x = 7,093,388,274.15

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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.