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Finding the Third Proportional to 55,924,373,784 and 122,675,994,318

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Solution

The third proportional to 55,924,373,784 and 122,675,994,318 is: 269,102,692,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,924,373,784 : 122,675,994,318 = 122,675,994,318 : x
  2. Step 2: Convert to fraction form
    55,924,373,784/122,675,994,318 = 122,675,994,318/x
  3. Step 3: Cross multiply
    55,924,373,784x = 122,675,994,318 × 122,675,994,318
  4. Step 4: Simplify right side
    55,924,373,784x = 15,049,399,581,909,968,748,544
  5. Step 5: Solve for x
    x = 15,049,399,581,909,968,748,544/55,924,373,784
  6. Step 6: Final answer
    x = 269,102,692,862.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.