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Finding the Third Proportional to 659,307,113,104 and 1,428,145,262,593

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Solution

The third proportional to 659,307,113,104 and 1,428,145,262,593 is: 3,093,549,046,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,307,113,104 : 1,428,145,262,593 = 1,428,145,262,593 : x
  2. Step 2: Convert to fraction form
    659,307,113,104/1,428,145,262,593 = 1,428,145,262,593/x
  3. Step 3: Cross multiply
    659,307,113,104x = 1,428,145,262,593 × 1,428,145,262,593
  4. Step 4: Simplify right side
    659,307,113,104x = 2,039,598,891,066,828,905,250,816
  5. Step 5: Solve for x
    x = 2,039,598,891,066,828,905,250,816/659,307,113,104
  6. Step 6: Final answer
    x = 3,093,549,046,459.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.