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Finding the Third Proportional to 21,578,849 and 46,235,623

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Solution

The third proportional to 21,578,849 and 46,235,623 is: 99,066,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578,849 : 46,235,623 = 46,235,623 : x
  2. Step 2: Convert to fraction form
    21,578,849/46,235,623 = 46,235,623/x
  3. Step 3: Cross multiply
    21,578,849x = 46,235,623 × 46,235,623
  4. Step 4: Simplify right side
    21,578,849x = 2,137,732,834,198,129
  5. Step 5: Solve for x
    x = 2,137,732,834,198,129/21,578,849
  6. Step 6: Final answer
    x = 99,066,119.52

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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.