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Finding the Third Proportional to 34,534,266 and 74,294,368.50

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Solution

The third proportional to 34,534,266 and 74,294,368.50 is: 159,831,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534,266 : 74,294,368.50 = 74,294,368.50 : x
  2. Step 2: Convert to fraction form
    34,534,266/74,294,368.50 = 74,294,368.50/x
  3. Step 3: Cross multiply
    34,534,266x = 74,294,368.50 × 74,294,368.50
  4. Step 4: Simplify right side
    34,534,266x = 5,519,653,190,813,792
  5. Step 5: Solve for x
    x = 5,519,653,190,813,792/34,534,266
  6. Step 6: Final answer
    x = 159,831,200.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.