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Finding the Third Proportional to 31,044,242.25 and 65,306,243.25

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Solution

The third proportional to 31,044,242.25 and 65,306,243.25 is: 137,381,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044,242.25 : 65,306,243.25 = 65,306,243.25 : x
  2. Step 2: Convert to fraction form
    31,044,242.25/65,306,243.25 = 65,306,243.25/x
  3. Step 3: Cross multiply
    31,044,242.25x = 65,306,243.25 × 65,306,243.25
  4. Step 4: Simplify right side
    31,044,242.25x = 4,264,905,407,428,170.50
  5. Step 5: Solve for x
    x = 4,264,905,407,428,170.50/31,044,242.25
  6. Step 6: Final answer
    x = 137,381,527.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.