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Finding the Third Proportional to 31,045,986 and 65,308,968

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Solution

The third proportional to 31,045,986 and 65,308,968 is: 137,385,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045,986 : 65,308,968 = 65,308,968 : x
  2. Step 2: Convert to fraction form
    31,045,986/65,308,968 = 65,308,968/x
  3. Step 3: Cross multiply
    31,045,986x = 65,308,968 × 65,308,968
  4. Step 4: Simplify right side
    31,045,986x = 4,265,261,301,225,024
  5. Step 5: Solve for x
    x = 4,265,261,301,225,024/31,045,986
  6. Step 6: Final answer
    x = 137,385,274.26

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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.