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Finding the Third Proportional to 10,292,051.25 and 21,915,256.50

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Solution

The third proportional to 10,292,051.25 and 21,915,256.50 is: 46,664,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292,051.25 : 21,915,256.50 = 21,915,256.50 : x
  2. Step 2: Convert to fraction form
    10,292,051.25/21,915,256.50 = 21,915,256.50/x
  3. Step 3: Cross multiply
    10,292,051.25x = 21,915,256.50 × 21,915,256.50
  4. Step 4: Simplify right side
    10,292,051.25x = 480,278,467,460,792.25
  5. Step 5: Solve for x
    x = 480,278,467,460,792.25/10,292,051.25
  6. Step 6: Final answer
    x = 46,664,989.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.