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Finding the Third Proportional to 69,536,197,878.75 and 150,624,402,585.75

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Solution

The third proportional to 69,536,197,878.75 and 150,624,402,585.75 is: 326,271,946,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,536,197,878.75 : 150,624,402,585.75 = 150,624,402,585.75 : x
  2. Step 2: Convert to fraction form
    69,536,197,878.75/150,624,402,585.75 = 150,624,402,585.75/x
  3. Step 3: Cross multiply
    69,536,197,878.75x = 150,624,402,585.75 × 150,624,402,585.75
  4. Step 4: Simplify right side
    69,536,197,878.75x = 22,687,710,654,314,089,283,584
  5. Step 5: Solve for x
    x = 22,687,710,654,314,089,283,584/69,536,197,878.75
  6. Step 6: Final answer
    x = 326,271,946,790.57

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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.