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Finding the Third Proportional to 10,974,931.31 and 23,635,523.25

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Solution

The third proportional to 10,974,931.31 and 23,635,523.25 is: 50,901,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,931.31 : 23,635,523.25 = 23,635,523.25 : x
  2. Step 2: Convert to fraction form
    10,974,931.31/23,635,523.25 = 23,635,523.25/x
  3. Step 3: Cross multiply
    10,974,931.31x = 23,635,523.25 × 23,635,523.25
  4. Step 4: Simplify right side
    10,974,931.31x = 558,637,959,301,290.56
  5. Step 5: Solve for x
    x = 558,637,959,301,290.56/10,974,931.31
  6. Step 6: Final answer
    x = 50,901,271.58

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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.