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Finding the Third Proportional to 12,711,756 and 27,086,547

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Solution

The third proportional to 12,711,756 and 27,086,547 is: 57,716,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711,756 : 27,086,547 = 27,086,547 : x
  2. Step 2: Convert to fraction form
    12,711,756/27,086,547 = 27,086,547/x
  3. Step 3: Cross multiply
    12,711,756x = 27,086,547 × 27,086,547
  4. Step 4: Simplify right side
    12,711,756x = 733,681,028,383,209
  5. Step 5: Solve for x
    x = 733,681,028,383,209/12,711,756
  6. Step 6: Final answer
    x = 57,716,733.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.