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Finding the Third Proportional to 6,946,920 and 10,492,972

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Solution

The third proportional to 6,946,920 and 10,492,972 is: 15,849,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946,920 : 10,492,972 = 10,492,972 : x
  2. Step 2: Convert to fraction form
    6,946,920/10,492,972 = 10,492,972/x
  3. Step 3: Cross multiply
    6,946,920x = 10,492,972 × 10,492,972
  4. Step 4: Simplify right side
    6,946,920x = 110,102,461,392,784
  5. Step 5: Solve for x
    x = 110,102,461,392,784/6,946,920
  6. Step 6: Final answer
    x = 15,849,104.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.