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Finding the Third Proportional to 10,896,109.66 and 23,707,482.68

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Solution

The third proportional to 10,896,109.66 and 23,707,482.68 is: 51,582,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896,109.66 : 23,707,482.68 = 23,707,482.68 : x
  2. Step 2: Convert to fraction form
    10,896,109.66/23,707,482.68 = 23,707,482.68/x
  3. Step 3: Cross multiply
    10,896,109.66x = 23,707,482.68 × 23,707,482.68
  4. Step 4: Simplify right side
    10,896,109.66x = 562,044,735,007,706.50
  5. Step 5: Solve for x
    x = 562,044,735,007,706.50/10,896,109.66
  6. Step 6: Final answer
    x = 51,582,147.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.