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Finding the Third Proportional to 2,596,077 and 5,681,550

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Solution

The third proportional to 2,596,077 and 5,681,550 is: 12,434,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,077 : 5,681,550 = 5,681,550 : x
  2. Step 2: Convert to fraction form
    2,596,077/5,681,550 = 5,681,550/x
  3. Step 3: Cross multiply
    2,596,077x = 5,681,550 × 5,681,550
  4. Step 4: Simplify right side
    2,596,077x = 32,280,010,402,500
  5. Step 5: Solve for x
    x = 32,280,010,402,500/2,596,077
  6. Step 6: Final answer
    x = 12,434,149.84

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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.