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Finding the Third Proportional to 32,476,770 and 67,640,382

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Solution

The third proportional to 32,476,770 and 67,640,382 is: 140,876,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476,770 : 67,640,382 = 67,640,382 : x
  2. Step 2: Convert to fraction form
    32,476,770/67,640,382 = 67,640,382/x
  3. Step 3: Cross multiply
    32,476,770x = 67,640,382 × 67,640,382
  4. Step 4: Simplify right side
    32,476,770x = 4,575,221,277,105,924
  5. Step 5: Solve for x
    x = 4,575,221,277,105,924/32,476,770
  6. Step 6: Final answer
    x = 140,876,733.65

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.