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Finding the Third Proportional to 24,976,390,370 and 53,933,584,201

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Solution

The third proportional to 24,976,390,370 and 53,933,584,201 is: 116,463,246,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976,390,370 : 53,933,584,201 = 53,933,584,201 : x
  2. Step 2: Convert to fraction form
    24,976,390,370/53,933,584,201 = 53,933,584,201/x
  3. Step 3: Cross multiply
    24,976,390,370x = 53,933,584,201 × 53,933,584,201
  4. Step 4: Simplify right side
    24,976,390,370x = 2,908,831,504,766,356,946,944
  5. Step 5: Solve for x
    x = 2,908,831,504,766,356,946,944/24,976,390,370
  6. Step 6: Final answer
    x = 116,463,246,356.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.