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Finding the Third Proportional to 239,705,620,925.25 and 521,609,097,954

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Solution

The third proportional to 239,705,620,925.25 and 521,609,097,954 is: 1,135,042,432,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705,620,925.25 : 521,609,097,954 = 521,609,097,954 : x
  2. Step 2: Convert to fraction form
    239,705,620,925.25/521,609,097,954 = 521,609,097,954/x
  3. Step 3: Cross multiply
    239,705,620,925.25x = 521,609,097,954 × 521,609,097,954
  4. Step 4: Simplify right side
    239,705,620,925.25x = 272,076,051,068,385,555,906,560
  5. Step 5: Solve for x
    x = 272,076,051,068,385,555,906,560/239,705,620,925.25
  6. Step 6: Final answer
    x = 1,135,042,432,539.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.