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Finding the Third Proportional to 10,782,420 and 23,208,996

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Solution

The third proportional to 10,782,420 and 23,208,996 is: 49,957,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782,420 : 23,208,996 = 23,208,996 : x
  2. Step 2: Convert to fraction form
    10,782,420/23,208,996 = 23,208,996/x
  3. Step 3: Cross multiply
    10,782,420x = 23,208,996 × 23,208,996
  4. Step 4: Simplify right side
    10,782,420x = 538,657,495,328,016
  5. Step 5: Solve for x
    x = 538,657,495,328,016/10,782,420
  6. Step 6: Final answer
    x = 49,957,012.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.