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Finding the Third Proportional to 10,725,792.19 and 13,771,561.78

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Solution

The third proportional to 10,725,792.19 and 13,771,561.78 is: 17,682,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725,792.19 : 13,771,561.78 = 13,771,561.78 : x
  2. Step 2: Convert to fraction form
    10,725,792.19/13,771,561.78 = 13,771,561.78/x
  3. Step 3: Cross multiply
    10,725,792.19x = 13,771,561.78 × 13,771,561.78
  4. Step 4: Simplify right side
    10,725,792.19x = 189,655,913,894,785.69
  5. Step 5: Solve for x
    x = 189,655,913,894,785.69/10,725,792.19
  6. Step 6: Final answer
    x = 17,682,229.02

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.