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Finding the Third Proportional to 18,314,086,477.50 and 39,670,701,742.50

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Solution

The third proportional to 18,314,086,477.50 and 39,670,701,742.50 is: 85,931,917,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314,086,477.50 : 39,670,701,742.50 = 39,670,701,742.50 : x
  2. Step 2: Convert to fraction form
    18,314,086,477.50/39,670,701,742.50 = 39,670,701,742.50/x
  3. Step 3: Cross multiply
    18,314,086,477.50x = 39,670,701,742.50 × 39,670,701,742.50
  4. Step 4: Simplify right side
    18,314,086,477.50x = 1,573,764,576,742,392,463,360
  5. Step 5: Solve for x
    x = 1,573,764,576,742,392,463,360/18,314,086,477.50
  6. Step 6: Final answer
    x = 85,931,917,962.49

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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.