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Finding the Third Proportional to 6,838,752 and 14,812,350

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Solution

The third proportional to 6,838,752 and 14,812,350 is: 32,082,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,752 : 14,812,350 = 14,812,350 : x
  2. Step 2: Convert to fraction form
    6,838,752/14,812,350 = 14,812,350/x
  3. Step 3: Cross multiply
    6,838,752x = 14,812,350 × 14,812,350
  4. Step 4: Simplify right side
    6,838,752x = 219,405,712,522,500
  5. Step 5: Solve for x
    x = 219,405,712,522,500/6,838,752
  6. Step 6: Final answer
    x = 32,082,712.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.