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Finding the Third Proportional to 66,784,073.01 and 100,701,668.68

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Solution

The third proportional to 66,784,073.01 and 100,701,668.68 is: 151,844,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784,073.01 : 100,701,668.68 = 100,701,668.68 : x
  2. Step 2: Convert to fraction form
    66,784,073.01/100,701,668.68 = 100,701,668.68/x
  3. Step 3: Cross multiply
    66,784,073.01x = 100,701,668.68 × 100,701,668.68
  4. Step 4: Simplify right side
    66,784,073.01x = 10,140,826,075,069,418
  5. Step 5: Solve for x
    x = 10,140,826,075,069,418/66,784,073.01
  6. Step 6: Final answer
    x = 151,844,977.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.