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Finding the Third Proportional to 2,616,403,892.63 and 4,021,600,369.50

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Solution

The third proportional to 2,616,403,892.63 and 4,021,600,369.50 is: 6,181,488,101.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616,403,892.63 : 4,021,600,369.50 = 4,021,600,369.50 : x
  2. Step 2: Convert to fraction form
    2,616,403,892.63/4,021,600,369.50 = 4,021,600,369.50/x
  3. Step 3: Cross multiply
    2,616,403,892.63x = 4,021,600,369.50 × 4,021,600,369.50
  4. Step 4: Simplify right side
    2,616,403,892.63x = 16,173,269,531,962,535,936
  5. Step 5: Solve for x
    x = 16,173,269,531,962,535,936/2,616,403,892.63
  6. Step 6: Final answer
    x = 6,181,488,101.88

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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.