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Finding the Third Proportional to 5,993,712 and 13,106,448

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Solution

The third proportional to 5,993,712 and 13,106,448 is: 28,659,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993,712 : 13,106,448 = 13,106,448 : x
  2. Step 2: Convert to fraction form
    5,993,712/13,106,448 = 13,106,448/x
  3. Step 3: Cross multiply
    5,993,712x = 13,106,448 × 13,106,448
  4. Step 4: Simplify right side
    5,993,712x = 171,778,979,176,704
  5. Step 5: Solve for x
    x = 171,778,979,176,704/5,993,712
  6. Step 6: Final answer
    x = 28,659,865.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.