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Finding the Third Proportional to 33,735,374 and 51,830,672.50

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Solution

The third proportional to 33,735,374 and 51,830,672.50 is: 79,632,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,735,374 : 51,830,672.50 = 51,830,672.50 : x
  2. Step 2: Convert to fraction form
    33,735,374/51,830,672.50 = 51,830,672.50/x
  3. Step 3: Cross multiply
    33,735,374x = 51,830,672.50 × 51,830,672.50
  4. Step 4: Simplify right side
    33,735,374x = 2,686,418,611,802,256
  5. Step 5: Solve for x
    x = 2,686,418,611,802,256/33,735,374
  6. Step 6: Final answer
    x = 79,632,098.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.