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Finding the Third Proportional to 18,045,946 and 38,968,296.50

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Solution

The third proportional to 18,045,946 and 38,968,296.50 is: 84,147,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,045,946 : 38,968,296.50 = 38,968,296.50 : x
  2. Step 2: Convert to fraction form
    18,045,946/38,968,296.50 = 38,968,296.50/x
  3. Step 3: Cross multiply
    18,045,946x = 38,968,296.50 × 38,968,296.50
  4. Step 4: Simplify right side
    18,045,946x = 1,518,528,132,111,912.25
  5. Step 5: Solve for x
    x = 1,518,528,132,111,912.25/18,045,946
  6. Step 6: Final answer
    x = 84,147,881.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.