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Finding the Third Proportional to 4,592,330,067,401 and 9,839,693,305,528

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Solution

The third proportional to 4,592,330,067,401 and 9,839,693,305,528 is: 21,082,884,489,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592,330,067,401 : 9,839,693,305,528 = 9,839,693,305,528 : x
  2. Step 2: Convert to fraction form
    4,592,330,067,401/9,839,693,305,528 = 9,839,693,305,528/x
  3. Step 3: Cross multiply
    4,592,330,067,401x = 9,839,693,305,528 × 9,839,693,305,528
  4. Step 4: Simplify right side
    4,592,330,067,401x = 96,819,564,346,852,537,746,325,504
  5. Step 5: Solve for x
    x = 96,819,564,346,852,537,746,325,504/4,592,330,067,401
  6. Step 6: Final answer
    x = 21,082,884,489,103.58

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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.