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Finding the Third Proportional to 21,702,743,579 and 46,545,657,627

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Solution

The third proportional to 21,702,743,579 and 46,545,657,627 is: 99,826,007,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702,743,579 : 46,545,657,627 = 46,545,657,627 : x
  2. Step 2: Convert to fraction form
    21,702,743,579/46,545,657,627 = 46,545,657,627/x
  3. Step 3: Cross multiply
    21,702,743,579x = 46,545,657,627 × 46,545,657,627
  4. Step 4: Simplify right side
    21,702,743,579x = 2,166,498,243,929,903,202,304
  5. Step 5: Solve for x
    x = 2,166,498,243,929,903,202,304/21,702,743,579
  6. Step 6: Final answer
    x = 99,826,007,529.58

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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.