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Finding the Third Proportional to 3,148,714 and 6,521,492

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Solution

The third proportional to 3,148,714 and 6,521,492 is: 13,507,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,714 : 6,521,492 = 6,521,492 : x
  2. Step 2: Convert to fraction form
    3,148,714/6,521,492 = 6,521,492/x
  3. Step 3: Cross multiply
    3,148,714x = 6,521,492 × 6,521,492
  4. Step 4: Simplify right side
    3,148,714x = 42,529,857,906,064
  5. Step 5: Solve for x
    x = 42,529,857,906,064/3,148,714
  6. Step 6: Final answer
    x = 13,507,056.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.