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Finding the Third Proportional to 46,668,662 and 67,223,265

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Solution

The third proportional to 46,668,662 and 67,223,265 is: 96,830,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,668,662 : 67,223,265 = 67,223,265 : x
  2. Step 2: Convert to fraction form
    46,668,662/67,223,265 = 67,223,265/x
  3. Step 3: Cross multiply
    46,668,662x = 67,223,265 × 67,223,265
  4. Step 4: Simplify right side
    46,668,662x = 4,518,967,357,260,225
  5. Step 5: Solve for x
    x = 4,518,967,357,260,225/46,668,662
  6. Step 6: Final answer
    x = 96,830,874.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.