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Finding the Third Proportional to 66,617,826 and 148,553,241

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Solution

The third proportional to 66,617,826 and 148,553,241 is: 331,263,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,617,826 : 148,553,241 = 148,553,241 : x
  2. Step 2: Convert to fraction form
    66,617,826/148,553,241 = 148,553,241/x
  3. Step 3: Cross multiply
    66,617,826x = 148,553,241 × 148,553,241
  4. Step 4: Simplify right side
    66,617,826x = 22,068,065,411,604,080
  5. Step 5: Solve for x
    x = 22,068,065,411,604,080/66,617,826
  6. Step 6: Final answer
    x = 331,263,668.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.