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Finding the Third Proportional to 10,834,447 and 22,508,696

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Solution

The third proportional to 10,834,447 and 22,508,696 is: 46,762,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,447 : 22,508,696 = 22,508,696 : x
  2. Step 2: Convert to fraction form
    10,834,447/22,508,696 = 22,508,696/x
  3. Step 3: Cross multiply
    10,834,447x = 22,508,696 × 22,508,696
  4. Step 4: Simplify right side
    10,834,447x = 506,641,395,620,416
  5. Step 5: Solve for x
    x = 506,641,395,620,416/10,834,447
  6. Step 6: Final answer
    x = 46,762,090.91

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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.