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Finding the Third Proportional to 7,769,665 and 15,847,490

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Solution

The third proportional to 7,769,665 and 15,847,490 is: 32,323,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769,665 : 15,847,490 = 15,847,490 : x
  2. Step 2: Convert to fraction form
    7,769,665/15,847,490 = 15,847,490/x
  3. Step 3: Cross multiply
    7,769,665x = 15,847,490 × 15,847,490
  4. Step 4: Simplify right side
    7,769,665x = 251,142,939,300,100
  5. Step 5: Solve for x
    x = 251,142,939,300,100/7,769,665
  6. Step 6: Final answer
    x = 32,323,522.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.