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Finding the Third Proportional to 4,640,043 and 10,275,414

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Solution

The third proportional to 4,640,043 and 10,275,414 is: 22,754,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640,043 : 10,275,414 = 10,275,414 : x
  2. Step 2: Convert to fraction form
    4,640,043/10,275,414 = 10,275,414/x
  3. Step 3: Cross multiply
    4,640,043x = 10,275,414 × 10,275,414
  4. Step 4: Simplify right side
    4,640,043x = 105,584,132,871,396
  5. Step 5: Solve for x
    x = 105,584,132,871,396/4,640,043
  6. Step 6: Final answer
    x = 22,754,990.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.