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Finding the Third Proportional to 2,616,403,929 and 4,021,600,421

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Solution

The third proportional to 2,616,403,929 and 4,021,600,421 is: 6,181,488,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616,403,929 : 4,021,600,421 = 4,021,600,421 : x
  2. Step 2: Convert to fraction form
    2,616,403,929/4,021,600,421 = 4,021,600,421/x
  3. Step 3: Cross multiply
    2,616,403,929x = 4,021,600,421 × 4,021,600,421
  4. Step 4: Simplify right side
    2,616,403,929x = 16,173,269,946,187,376,640
  5. Step 5: Solve for x
    x = 16,173,269,946,187,376,640/2,616,403,929
  6. Step 6: Final answer
    x = 6,181,488,174.25

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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.