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Finding the Third Proportional to 33,874,470 and 72,118,566

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Solution

The third proportional to 33,874,470 and 72,118,566 is: 153,540,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874,470 : 72,118,566 = 72,118,566 : x
  2. Step 2: Convert to fraction form
    33,874,470/72,118,566 = 72,118,566/x
  3. Step 3: Cross multiply
    33,874,470x = 72,118,566 × 72,118,566
  4. Step 4: Simplify right side
    33,874,470x = 5,201,087,561,896,356
  5. Step 5: Solve for x
    x = 5,201,087,561,896,356/33,874,470
  6. Step 6: Final answer
    x = 153,540,042.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.