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Finding the Third Proportional to 365,072,222,304 and 780,385,818,024

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Solution

The third proportional to 365,072,222,304 and 780,385,818,024 is: 1,668,168,619,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,072,222,304 : 780,385,818,024 = 780,385,818,024 : x
  2. Step 2: Convert to fraction form
    365,072,222,304/780,385,818,024 = 780,385,818,024/x
  3. Step 3: Cross multiply
    365,072,222,304x = 780,385,818,024 × 780,385,818,024
  4. Step 4: Simplify right side
    365,072,222,304x = 609,002,024,972,987,595,227,136
  5. Step 5: Solve for x
    x = 609,002,024,972,987,595,227,136/365,072,222,304
  6. Step 6: Final answer
    x = 1,668,168,619,155.76

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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.