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Finding the Third Proportional to 399,114,411 and 853,386,054

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Solution

The third proportional to 399,114,411 and 853,386,054 is: 1,824,709,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,114,411 : 853,386,054 = 853,386,054 : x
  2. Step 2: Convert to fraction form
    399,114,411/853,386,054 = 853,386,054/x
  3. Step 3: Cross multiply
    399,114,411x = 853,386,054 × 853,386,054
  4. Step 4: Simplify right side
    399,114,411x = 728,267,757,161,690,880
  5. Step 5: Solve for x
    x = 728,267,757,161,690,880/399,114,411
  6. Step 6: Final answer
    x = 1,824,709,249.00

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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.