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Finding the Third Proportional to 10,834,438 and 22,508,678

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Solution

The third proportional to 10,834,438 and 22,508,678 is: 46,762,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,438 : 22,508,678 = 22,508,678 : x
  2. Step 2: Convert to fraction form
    10,834,438/22,508,678 = 22,508,678/x
  3. Step 3: Cross multiply
    10,834,438x = 22,508,678 × 22,508,678
  4. Step 4: Simplify right side
    10,834,438x = 506,640,585,307,684
  5. Step 5: Solve for x
    x = 506,640,585,307,684/10,834,438
  6. Step 6: Final answer
    x = 46,762,054.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.