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Finding the Third Proportional to 18,004,868,322,632 and 24,292,794,812,004

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Solution

The third proportional to 18,004,868,322,632 and 24,292,794,812,004 is: 32,776,684,016,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,004,868,322,632 : 24,292,794,812,004 = 24,292,794,812,004 : x
  2. Step 2: Convert to fraction form
    18,004,868,322,632/24,292,794,812,004 = 24,292,794,812,004/x
  3. Step 3: Cross multiply
    18,004,868,322,632x = 24,292,794,812,004 × 24,292,794,812,004
  4. Step 4: Simplify right side
    18,004,868,322,632x = 590,139,879,778,128,482,025,865,216
  5. Step 5: Solve for x
    x = 590,139,879,778,128,482,025,865,216/18,004,868,322,632
  6. Step 6: Final answer
    x = 32,776,684,016,973.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.