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Finding the Third Proportional to 4,845,600 and 10,539,792

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Solution

The third proportional to 4,845,600 and 10,539,792 is: 22,925,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,600 : 10,539,792 = 10,539,792 : x
  2. Step 2: Convert to fraction form
    4,845,600/10,539,792 = 10,539,792/x
  3. Step 3: Cross multiply
    4,845,600x = 10,539,792 × 10,539,792
  4. Step 4: Simplify right side
    4,845,600x = 111,087,215,403,264
  5. Step 5: Solve for x
    x = 111,087,215,403,264/4,845,600
  6. Step 6: Final answer
    x = 22,925,378.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.