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Finding the Third Proportional to 27,275,719.50 and 42,348,022.50

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Solution

The third proportional to 27,275,719.50 and 42,348,022.50 is: 65,749,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,275,719.50 : 42,348,022.50 = 42,348,022.50 : x
  2. Step 2: Convert to fraction form
    27,275,719.50/42,348,022.50 = 42,348,022.50/x
  3. Step 3: Cross multiply
    27,275,719.50x = 42,348,022.50 × 42,348,022.50
  4. Step 4: Simplify right side
    27,275,719.50x = 1,793,355,009,660,506.25
  5. Step 5: Solve for x
    x = 1,793,355,009,660,506.25/27,275,719.50
  6. Step 6: Final answer
    x = 65,749,136.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.