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Finding the Third Proportional to 302,375,642,294 and 647,881,040,686

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Solution

The third proportional to 302,375,642,294 and 647,881,040,686 is: 1,388,173,464,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,375,642,294 : 647,881,040,686 = 647,881,040,686 : x
  2. Step 2: Convert to fraction form
    302,375,642,294/647,881,040,686 = 647,881,040,686/x
  3. Step 3: Cross multiply
    302,375,642,294x = 647,881,040,686 × 647,881,040,686
  4. Step 4: Simplify right side
    302,375,642,294x = 419,749,842,880,374,404,808,704
  5. Step 5: Solve for x
    x = 419,749,842,880,374,404,808,704/302,375,642,294
  6. Step 6: Final answer
    x = 1,388,173,464,290.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.