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Finding the Third Proportional to 21,702,743,577 and 46,545,657,623

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Solution

The third proportional to 21,702,743,577 and 46,545,657,623 is: 99,826,007,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702,743,577 : 46,545,657,623 = 46,545,657,623 : x
  2. Step 2: Convert to fraction form
    21,702,743,577/46,545,657,623 = 46,545,657,623/x
  3. Step 3: Cross multiply
    21,702,743,577x = 46,545,657,623 × 46,545,657,623
  4. Step 4: Simplify right side
    21,702,743,577x = 2,166,498,243,557,538,136,064
  5. Step 5: Solve for x
    x = 2,166,498,243,557,538,136,064/21,702,743,577
  6. Step 6: Final answer
    x = 99,826,007,521.63

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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.