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Finding the Third Proportional to 21,578,745 and 46,235,415

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Solution

The third proportional to 21,578,745 and 46,235,415 is: 99,065,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578,745 : 46,235,415 = 46,235,415 : x
  2. Step 2: Convert to fraction form
    21,578,745/46,235,415 = 46,235,415/x
  3. Step 3: Cross multiply
    21,578,745x = 46,235,415 × 46,235,415
  4. Step 4: Simplify right side
    21,578,745x = 2,137,713,600,222,225
  5. Step 5: Solve for x
    x = 2,137,713,600,222,225/21,578,745
  6. Step 6: Final answer
    x = 99,065,705.64

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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.