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Finding the Third Proportional to 10,768,721.63 and 23,051,154.38

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Solution

The third proportional to 10,768,721.63 and 23,051,154.38 is: 49,342,506.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,721.63 : 23,051,154.38 = 23,051,154.38 : x
  2. Step 2: Convert to fraction form
    10,768,721.63/23,051,154.38 = 23,051,154.38/x
  3. Step 3: Cross multiply
    10,768,721.63x = 23,051,154.38 × 23,051,154.38
  4. Step 4: Simplify right side
    10,768,721.63x = 531,355,718,020,081.62
  5. Step 5: Solve for x
    x = 531,355,718,020,081.62/10,768,721.63
  6. Step 6: Final answer
    x = 49,342,506.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.