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Finding the Third Proportional to 1,173,445,866 and 2,486,793,384

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Solution

The third proportional to 1,173,445,866 and 2,486,793,384 is: 5,270,069,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173,445,866 : 2,486,793,384 = 2,486,793,384 : x
  2. Step 2: Convert to fraction form
    1,173,445,866/2,486,793,384 = 2,486,793,384/x
  3. Step 3: Cross multiply
    1,173,445,866x = 2,486,793,384 × 2,486,793,384
  4. Step 4: Simplify right side
    1,173,445,866x = 6,184,141,334,706,171,904
  5. Step 5: Solve for x
    x = 6,184,141,334,706,171,904/1,173,445,866
  6. Step 6: Final answer
    x = 5,270,069,556.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.