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Finding the Third Proportional to 39,987,483,030 and 83,284,706,412

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Solution

The third proportional to 39,987,483,030 and 83,284,706,412 is: 173,462,838,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,987,483,030 : 83,284,706,412 = 83,284,706,412 : x
  2. Step 2: Convert to fraction form
    39,987,483,030/83,284,706,412 = 83,284,706,412/x
  3. Step 3: Cross multiply
    39,987,483,030x = 83,284,706,412 × 83,284,706,412
  4. Step 4: Simplify right side
    39,987,483,030x = 6,936,342,322,133,034,074,112
  5. Step 5: Solve for x
    x = 6,936,342,322,133,034,074,112/39,987,483,030
  6. Step 6: Final answer
    x = 173,462,838,782.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.