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Finding the Third Proportional to 13,816,000,599 and 21,223,066,857

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Solution

The third proportional to 13,816,000,599 and 21,223,066,857 is: 32,601,226,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816,000,599 : 21,223,066,857 = 21,223,066,857 : x
  2. Step 2: Convert to fraction form
    13,816,000,599/21,223,066,857 = 21,223,066,857/x
  3. Step 3: Cross multiply
    13,816,000,599x = 21,223,066,857 × 21,223,066,857
  4. Step 4: Simplify right side
    13,816,000,599x = 450,418,566,816,691,847,168
  5. Step 5: Solve for x
    x = 450,418,566,816,691,847,168/13,816,000,599
  6. Step 6: Final answer
    x = 32,601,226,642.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.