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Finding the Third Proportional to 3,633,075,291 and 7,953,952,902

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Solution

The third proportional to 3,633,075,291 and 7,953,952,902 is: 17,413,723,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633,075,291 : 7,953,952,902 = 7,953,952,902 : x
  2. Step 2: Convert to fraction form
    3,633,075,291/7,953,952,902 = 7,953,952,902/x
  3. Step 3: Cross multiply
    3,633,075,291x = 7,953,952,902 × 7,953,952,902
  4. Step 4: Simplify right side
    3,633,075,291x = 63,265,366,767,234,220,032
  5. Step 5: Solve for x
    x = 63,265,366,767,234,220,032/3,633,075,291
  6. Step 6: Final answer
    x = 17,413,723,003.20

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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.