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Finding the Third Proportional to 38,646,344 and 83,345,683

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Solution

The third proportional to 38,646,344 and 83,345,683 is: 179,745,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646,344 : 83,345,683 = 83,345,683 : x
  2. Step 2: Convert to fraction form
    38,646,344/83,345,683 = 83,345,683/x
  3. Step 3: Cross multiply
    38,646,344x = 83,345,683 × 83,345,683
  4. Step 4: Simplify right side
    38,646,344x = 6,946,502,874,736,489
  5. Step 5: Solve for x
    x = 6,946,502,874,736,489/38,646,344
  6. Step 6: Final answer
    x = 179,745,408.12

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