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Finding the Third Proportional to 5,566,148,300 and 11,929,073,917

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Solution

The third proportional to 5,566,148,300 and 11,929,073,917 is: 25,565,758,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566,148,300 : 11,929,073,917 = 11,929,073,917 : x
  2. Step 2: Convert to fraction form
    5,566,148,300/11,929,073,917 = 11,929,073,917/x
  3. Step 3: Cross multiply
    5,566,148,300x = 11,929,073,917 × 11,929,073,917
  4. Step 4: Simplify right side
    5,566,148,300x = 142,302,804,517,249,728,512
  5. Step 5: Solve for x
    x = 142,302,804,517,249,728,512/5,566,148,300
  6. Step 6: Final answer
    x = 25,565,758,734.32

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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.