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Finding the Third Proportional to 7,963,695 and 12,297,582

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Solution

The third proportional to 7,963,695 and 12,297,582 is: 18,989,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963,695 : 12,297,582 = 12,297,582 : x
  2. Step 2: Convert to fraction form
    7,963,695/12,297,582 = 12,297,582/x
  3. Step 3: Cross multiply
    7,963,695x = 12,297,582 × 12,297,582
  4. Step 4: Simplify right side
    7,963,695x = 151,230,523,046,724
  5. Step 5: Solve for x
    x = 151,230,523,046,724/7,963,695
  6. Step 6: Final answer
    x = 18,989,994.35

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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.