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Finding the Third Proportional to 34,077,861.84 and 74,323,792.69

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Solution

The third proportional to 34,077,861.84 and 74,323,792.69 is: 162,100,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077,861.84 : 74,323,792.69 = 74,323,792.69 : x
  2. Step 2: Convert to fraction form
    34,077,861.84/74,323,792.69 = 74,323,792.69/x
  3. Step 3: Cross multiply
    34,077,861.84x = 74,323,792.69 × 74,323,792.69
  4. Step 4: Simplify right side
    34,077,861.84x = 5,524,026,159,454,478
  5. Step 5: Solve for x
    x = 5,524,026,159,454,478/34,077,861.84
  6. Step 6: Final answer
    x = 162,100,139.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.