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Finding the Third Proportional to 5,566,148,282 and 11,929,073,881

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Solution

The third proportional to 5,566,148,282 and 11,929,073,881 is: 25,565,758,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566,148,282 : 11,929,073,881 = 11,929,073,881 : x
  2. Step 2: Convert to fraction form
    5,566,148,282/11,929,073,881 = 11,929,073,881/x
  3. Step 3: Cross multiply
    5,566,148,282x = 11,929,073,881 × 11,929,073,881
  4. Step 4: Simplify right side
    5,566,148,282x = 142,302,803,658,356,408,320
  5. Step 5: Solve for x
    x = 142,302,803,658,356,408,320/5,566,148,282
  6. Step 6: Final answer
    x = 25,565,758,662.69

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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.