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Finding the Third Proportional to 10,058,575.50 and 21,724,967.25

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Solution

The third proportional to 10,058,575.50 and 21,724,967.25 is: 46,922,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058,575.50 : 21,724,967.25 = 21,724,967.25 : x
  2. Step 2: Convert to fraction form
    10,058,575.50/21,724,967.25 = 21,724,967.25/x
  3. Step 3: Cross multiply
    10,058,575.50x = 21,724,967.25 × 21,724,967.25
  4. Step 4: Simplify right side
    10,058,575.50x = 471,974,202,013,572.56
  5. Step 5: Solve for x
    x = 471,974,202,013,572.56/10,058,575.50
  6. Step 6: Final answer
    x = 46,922,568.91

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