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Finding the Third Proportional to 10,694,492.65 and 23,093,797.36

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Solution

The third proportional to 10,694,492.65 and 23,093,797.36 is: 49,868,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,492.65 : 23,093,797.36 = 23,093,797.36 : x
  2. Step 2: Convert to fraction form
    10,694,492.65/23,093,797.36 = 23,093,797.36/x
  3. Step 3: Cross multiply
    10,694,492.65x = 23,093,797.36 × 23,093,797.36
  4. Step 4: Simplify right side
    10,694,492.65x = 533,323,476,475,875.75
  5. Step 5: Solve for x
    x = 533,323,476,475,875.75/10,694,492.65
  6. Step 6: Final answer
    x = 49,868,983.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.