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Finding the Third Proportional to 10,974,920.34 and 23,635,501.31

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Solution

The third proportional to 10,974,920.34 and 23,635,501.31 is: 50,901,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974,920.34 : 23,635,501.31 = 23,635,501.31 : x
  2. Step 2: Convert to fraction form
    10,974,920.34/23,635,501.31 = 23,635,501.31/x
  3. Step 3: Cross multiply
    10,974,920.34x = 23,635,501.31 × 23,635,501.31
  4. Step 4: Simplify right side
    10,974,920.34x = 558,636,922,293,189.25
  5. Step 5: Solve for x
    x = 558,636,922,293,189.25/10,974,920.34
  6. Step 6: Final answer
    x = 50,901,227.96

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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.