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Finding the Third Proportional to 1,805,602,923 and 3,661,975,289

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Solution

The third proportional to 1,805,602,923 and 3,661,975,289 is: 7,426,916,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,602,923 : 3,661,975,289 = 3,661,975,289 : x
  2. Step 2: Convert to fraction form
    1,805,602,923/3,661,975,289 = 3,661,975,289/x
  3. Step 3: Cross multiply
    1,805,602,923x = 3,661,975,289 × 3,661,975,289
  4. Step 4: Simplify right side
    1,805,602,923x = 13,410,063,017,246,633,984
  5. Step 5: Solve for x
    x = 13,410,063,017,246,633,984/1,805,602,923
  6. Step 6: Final answer
    x = 7,426,916,985.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.