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Finding the Third Proportional to 6,838,717.50 and 14,812,282.13

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Solution

The third proportional to 6,838,717.50 and 14,812,282.13 is: 32,082,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838,717.50 : 14,812,282.13 = 14,812,282.13 : x
  2. Step 2: Convert to fraction form
    6,838,717.50/14,812,282.13 = 14,812,282.13/x
  3. Step 3: Cross multiply
    6,838,717.50x = 14,812,282.13 × 14,812,282.13
  4. Step 4: Simplify right side
    6,838,717.50x = 219,403,701,750,594.50
  5. Step 5: Solve for x
    x = 219,403,701,750,594.50/6,838,717.50
  6. Step 6: Final answer
    x = 32,082,580.07

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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.