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Finding the Third Proportional to 4,896,432 and 10,605,984

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Solution

The third proportional to 4,896,432 and 10,605,984 is: 22,973,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896,432 : 10,605,984 = 10,605,984 : x
  2. Step 2: Convert to fraction form
    4,896,432/10,605,984 = 10,605,984/x
  3. Step 3: Cross multiply
    4,896,432x = 10,605,984 × 10,605,984
  4. Step 4: Simplify right side
    4,896,432x = 112,486,896,608,256
  5. Step 5: Solve for x
    x = 112,486,896,608,256/4,896,432
  6. Step 6: Final answer
    x = 22,973,237.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.