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Finding the Third Proportional to 5,158,584 and 10,931,634

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Solution

The third proportional to 5,158,584 and 10,931,634 is: 23,165,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158,584 : 10,931,634 = 10,931,634 : x
  2. Step 2: Convert to fraction form
    5,158,584/10,931,634 = 10,931,634/x
  3. Step 3: Cross multiply
    5,158,584x = 10,931,634 × 10,931,634
  4. Step 4: Simplify right side
    5,158,584x = 119,500,621,909,956
  5. Step 5: Solve for x
    x = 119,500,621,909,956/5,158,584
  6. Step 6: Final answer
    x = 23,165,392.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.