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Finding the Third Proportional to 18,898,478,199.50 and 40,492,566,109.50

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Solution

The third proportional to 18,898,478,199.50 and 40,492,566,109.50 is: 86,760,843,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,898,478,199.50 : 40,492,566,109.50 = 40,492,566,109.50 : x
  2. Step 2: Convert to fraction form
    18,898,478,199.50/40,492,566,109.50 = 40,492,566,109.50/x
  3. Step 3: Cross multiply
    18,898,478,199.50x = 40,492,566,109.50 × 40,492,566,109.50
  4. Step 4: Simplify right side
    18,898,478,199.50x = 1,639,647,910,132,228,030,464
  5. Step 5: Solve for x
    x = 1,639,647,910,132,228,030,464/18,898,478,199.50
  6. Step 6: Final answer
    x = 86,760,843,535.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.