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Finding the Third Proportional to 10,020,784.50 and 21,956,755.50

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Solution

The third proportional to 10,020,784.50 and 21,956,755.50 is: 48,109,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020,784.50 : 21,956,755.50 = 21,956,755.50 : x
  2. Step 2: Convert to fraction form
    10,020,784.50/21,956,755.50 = 21,956,755.50/x
  3. Step 3: Cross multiply
    10,020,784.50x = 21,956,755.50 × 21,956,755.50
  4. Step 4: Simplify right side
    10,020,784.50x = 482,099,112,086,780.25
  5. Step 5: Solve for x
    x = 482,099,112,086,780.25/10,020,784.50
  6. Step 6: Final answer
    x = 48,109,917.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.