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Finding the Third Proportional to 19,163,284,971 and 41,700,987,030

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Solution

The third proportional to 19,163,284,971 and 41,700,987,030 is: 90,745,001,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,163,284,971 : 41,700,987,030 = 41,700,987,030 : x
  2. Step 2: Convert to fraction form
    19,163,284,971/41,700,987,030 = 41,700,987,030/x
  3. Step 3: Cross multiply
    19,163,284,971x = 41,700,987,030 × 41,700,987,030
  4. Step 4: Simplify right side
    19,163,284,971x = 1,738,972,319,276,228,149,248
  5. Step 5: Solve for x
    x = 1,738,972,319,276,228,149,248/19,163,284,971
  6. Step 6: Final answer
    x = 90,745,001,282.81

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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.