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Finding the Third Proportional to 15,530,357,748,404 and 33,763,857,277,000

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Solution

The third proportional to 15,530,357,748,404 and 33,763,857,277,000 is: 73,404,494,390,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530,357,748,404 : 33,763,857,277,000 = 33,763,857,277,000 : x
  2. Step 2: Convert to fraction form
    15,530,357,748,404/33,763,857,277,000 = 33,763,857,277,000/x
  3. Step 3: Cross multiply
    15,530,357,748,404x = 33,763,857,277,000 × 33,763,857,277,000
  4. Step 4: Simplify right side
    15,530,357,748,404x = 1,139,998,058,221,625,839,502,491,648
  5. Step 5: Solve for x
    x = 1,139,998,058,221,625,839,502,491,648/15,530,357,748,404
  6. Step 6: Final answer
    x = 73,404,494,390,271.17

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Why These Related Problems?

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