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Finding the Third Proportional to 10,831,978.13 and 23,370,292.13

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Solution

The third proportional to 10,831,978.13 and 23,370,292.13 is: 50,422,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831,978.13 : 23,370,292.13 = 23,370,292.13 : x
  2. Step 2: Convert to fraction form
    10,831,978.13/23,370,292.13 = 23,370,292.13/x
  3. Step 3: Cross multiply
    10,831,978.13x = 23,370,292.13 × 23,370,292.13
  4. Step 4: Simplify right side
    10,831,978.13x = 546,170,554,007,837
  5. Step 5: Solve for x
    x = 546,170,554,007,837/10,831,978.13
  6. Step 6: Final answer
    x = 50,422,051.05

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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.