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Finding the Third Proportional to 122,863,824 and 265,432,032

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Solution

The third proportional to 122,863,824 and 265,432,032 is: 573,432,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,863,824 : 265,432,032 = 265,432,032 : x
  2. Step 2: Convert to fraction form
    122,863,824/265,432,032 = 265,432,032/x
  3. Step 3: Cross multiply
    122,863,824x = 265,432,032 × 265,432,032
  4. Step 4: Simplify right side
    122,863,824x = 70,454,163,611,649,024
  5. Step 5: Solve for x
    x = 70,454,163,611,649,024/122,863,824
  6. Step 6: Final answer
    x = 573,432,938.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.