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Finding the Third Proportional to 646,481,810,596 and 909,233,413,590

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Solution

The third proportional to 646,481,810,596 and 909,233,413,590 is: 1,278,775,963,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,481,810,596 : 909,233,413,590 = 909,233,413,590 : x
  2. Step 2: Convert to fraction form
    646,481,810,596/909,233,413,590 = 909,233,413,590/x
  3. Step 3: Cross multiply
    646,481,810,596x = 909,233,413,590 × 909,233,413,590
  4. Step 4: Simplify right side
    646,481,810,596x = 826,705,400,388,523,936,186,368
  5. Step 5: Solve for x
    x = 826,705,400,388,523,936,186,368/646,481,810,596
  6. Step 6: Final answer
    x = 1,278,775,963,745.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.