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Finding the Third Proportional to 35,954,205.75 and 78,634,867.50

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Solution

The third proportional to 35,954,205.75 and 78,634,867.50 is: 171,981,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,954,205.75 : 78,634,867.50 = 78,634,867.50 : x
  2. Step 2: Convert to fraction form
    35,954,205.75/78,634,867.50 = 78,634,867.50/x
  3. Step 3: Cross multiply
    35,954,205.75x = 78,634,867.50 × 78,634,867.50
  4. Step 4: Simplify right side
    35,954,205.75x = 6,183,442,386,742,556
  5. Step 5: Solve for x
    x = 6,183,442,386,742,556/35,954,205.75
  6. Step 6: Final answer
    x = 171,981,059.18

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Why These Related Problems?

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