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Finding the Third Proportional to 239,705,620,947 and 521,609,097,997.12

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Solution

The third proportional to 239,705,620,947 and 521,609,097,997.12 is: 1,135,042,432,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705,620,947 : 521,609,097,997.12 = 521,609,097,997.12 : x
  2. Step 2: Convert to fraction form
    239,705,620,947/521,609,097,997.12 = 521,609,097,997.12/x
  3. Step 3: Cross multiply
    239,705,620,947x = 521,609,097,997.12 × 521,609,097,997.12
  4. Step 4: Simplify right side
    239,705,620,947x = 272,076,051,113,369,130,762,240
  5. Step 5: Solve for x
    x = 272,076,051,113,369,130,762,240/239,705,620,947
  6. Step 6: Final answer
    x = 1,135,042,432,624.17

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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.