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Finding the Third Proportional to 10,397,266.31 and 23,185,202.06

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Solution

The third proportional to 10,397,266.31 and 23,185,202.06 is: 51,701,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397,266.31 : 23,185,202.06 = 23,185,202.06 : x
  2. Step 2: Convert to fraction form
    10,397,266.31/23,185,202.06 = 23,185,202.06/x
  3. Step 3: Cross multiply
    10,397,266.31x = 23,185,202.06 × 23,185,202.06
  4. Step 4: Simplify right side
    10,397,266.31x = 537,553,594,678,954.25
  5. Step 5: Solve for x
    x = 537,553,594,678,954.25/10,397,266.31
  6. Step 6: Final answer
    x = 51,701,435.60

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.