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Finding the Third Proportional to 21,578,854 and 46,235,634

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Solution

The third proportional to 21,578,854 and 46,235,634 is: 99,066,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578,854 : 46,235,634 = 46,235,634 : x
  2. Step 2: Convert to fraction form
    21,578,854/46,235,634 = 46,235,634/x
  3. Step 3: Cross multiply
    21,578,854x = 46,235,634 × 46,235,634
  4. Step 4: Simplify right side
    21,578,854x = 2,137,733,851,381,956
  5. Step 5: Solve for x
    x = 2,137,733,851,381,956/21,578,854
  6. Step 6: Final answer
    x = 99,066,143.71

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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.