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Finding the Third Proportional to 10,459,084.50 and 22,598,763.75

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Solution

The third proportional to 10,459,084.50 and 22,598,763.75 is: 48,828,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459,084.50 : 22,598,763.75 = 22,598,763.75 : x
  2. Step 2: Convert to fraction form
    10,459,084.50/22,598,763.75 = 22,598,763.75/x
  3. Step 3: Cross multiply
    10,459,084.50x = 22,598,763.75 × 22,598,763.75
  4. Step 4: Simplify right side
    10,459,084.50x = 510,704,123,028,314.06
  5. Step 5: Solve for x
    x = 510,704,123,028,314.06/10,459,084.50
  6. Step 6: Final answer
    x = 48,828,759.63

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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.