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Finding the Third Proportional to 7,963,569 and 12,297,412

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Solution

The third proportional to 7,963,569 and 12,297,412 is: 18,989,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963,569 : 12,297,412 = 12,297,412 : x
  2. Step 2: Convert to fraction form
    7,963,569/12,297,412 = 12,297,412/x
  3. Step 3: Cross multiply
    7,963,569x = 12,297,412 × 12,297,412
  4. Step 4: Simplify right side
    7,963,569x = 151,226,341,897,744
  5. Step 5: Solve for x
    x = 151,226,341,897,744/7,963,569
  6. Step 6: Final answer
    x = 18,989,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.