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Finding the Third Proportional to 19,870,226,920 and 40,324,330,350

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Solution

The third proportional to 19,870,226,920 and 40,324,330,350 is: 81,833,570,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870,226,920 : 40,324,330,350 = 40,324,330,350 : x
  2. Step 2: Convert to fraction form
    19,870,226,920/40,324,330,350 = 40,324,330,350/x
  3. Step 3: Cross multiply
    19,870,226,920x = 40,324,330,350 × 40,324,330,350
  4. Step 4: Simplify right side
    19,870,226,920x = 1,626,051,618,175,931,121,664
  5. Step 5: Solve for x
    x = 1,626,051,618,175,931,121,664/19,870,226,920
  6. Step 6: Final answer
    x = 81,833,570,634.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.