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Finding the Third Proportional to 8,964,691,575 and 13,397,628,106.50

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Solution

The third proportional to 8,964,691,575 and 13,397,628,106.50 is: 20,022,600,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964,691,575 : 13,397,628,106.50 = 13,397,628,106.50 : x
  2. Step 2: Convert to fraction form
    8,964,691,575/13,397,628,106.50 = 13,397,628,106.50/x
  3. Step 3: Cross multiply
    8,964,691,575x = 13,397,628,106.50 × 13,397,628,106.50
  4. Step 4: Simplify right side
    8,964,691,575x = 179,496,438,880,078,790,656
  5. Step 5: Solve for x
    x = 179,496,438,880,078,790,656/8,964,691,575
  6. Step 6: Final answer
    x = 20,022,600,596.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.