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Finding the Third Proportional to 11,403,729 and 23,615,887

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Solution

The third proportional to 11,403,729 and 23,615,887 is: 48,905,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403,729 : 23,615,887 = 23,615,887 : x
  2. Step 2: Convert to fraction form
    11,403,729/23,615,887 = 23,615,887/x
  3. Step 3: Cross multiply
    11,403,729x = 23,615,887 × 23,615,887
  4. Step 4: Simplify right side
    11,403,729x = 557,710,118,796,769
  5. Step 5: Solve for x
    x = 557,710,118,796,769/11,403,729
  6. Step 6: Final answer
    x = 48,905,942.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.