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Finding the Third Proportional to 5,881,376 and 12,739,829

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Solution

The third proportional to 5,881,376 and 12,739,829 is: 27,596,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881,376 : 12,739,829 = 12,739,829 : x
  2. Step 2: Convert to fraction form
    5,881,376/12,739,829 = 12,739,829/x
  3. Step 3: Cross multiply
    5,881,376x = 12,739,829 × 12,739,829
  4. Step 4: Simplify right side
    5,881,376x = 162,303,242,949,241
  5. Step 5: Solve for x
    x = 162,303,242,949,241/5,881,376
  6. Step 6: Final answer
    x = 27,596,134.47

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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.