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Finding the Third Proportional to 19,954,683.50 and 42,892,265.75

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Solution

The third proportional to 19,954,683.50 and 42,892,265.75 is: 92,196,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954,683.50 : 42,892,265.75 = 42,892,265.75 : x
  2. Step 2: Convert to fraction form
    19,954,683.50/42,892,265.75 = 42,892,265.75/x
  3. Step 3: Cross multiply
    19,954,683.50x = 42,892,265.75 × 42,892,265.75
  4. Step 4: Simplify right side
    19,954,683.50x = 1,839,746,461,168,623
  5. Step 5: Solve for x
    x = 1,839,746,461,168,623/19,954,683.50
  6. Step 6: Final answer
    x = 92,196,223.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.