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Finding the Third Proportional to 31,668,640 and 52,407,672

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Solution

The third proportional to 31,668,640 and 52,407,672 is: 86,728,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668,640 : 52,407,672 = 52,407,672 : x
  2. Step 2: Convert to fraction form
    31,668,640/52,407,672 = 52,407,672/x
  3. Step 3: Cross multiply
    31,668,640x = 52,407,672 × 52,407,672
  4. Step 4: Simplify right side
    31,668,640x = 2,746,564,084,459,584
  5. Step 5: Solve for x
    x = 2,746,564,084,459,584/31,668,640
  6. Step 6: Final answer
    x = 86,728,198.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.