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Finding the Third Proportional to 10,365,943 and 22,555,023

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Solution

The third proportional to 10,365,943 and 22,555,023 is: 49,076,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,943 : 22,555,023 = 22,555,023 : x
  2. Step 2: Convert to fraction form
    10,365,943/22,555,023 = 22,555,023/x
  3. Step 3: Cross multiply
    10,365,943x = 22,555,023 × 22,555,023
  4. Step 4: Simplify right side
    10,365,943x = 508,729,062,530,529
  5. Step 5: Solve for x
    x = 508,729,062,530,529/10,365,943
  6. Step 6: Final answer
    x = 49,076,968.93

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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.