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Finding the Third Proportional to 34,032,014 and 74,676,436

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Solution

The third proportional to 34,032,014 and 74,676,436 is: 163,862,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032,014 : 74,676,436 = 74,676,436 : x
  2. Step 2: Convert to fraction form
    34,032,014/74,676,436 = 74,676,436/x
  3. Step 3: Cross multiply
    34,032,014x = 74,676,436 × 74,676,436
  4. Step 4: Simplify right side
    34,032,014x = 5,576,570,093,662,096
  5. Step 5: Solve for x
    x = 5,576,570,093,662,096/34,032,014
  6. Step 6: Final answer
    x = 163,862,476.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.