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Finding the Third Proportional to 16,139,738.25 and 34,582,019.63

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Solution

The third proportional to 16,139,738.25 and 34,582,019.63 is: 74,097,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139,738.25 : 34,582,019.63 = 34,582,019.63 : x
  2. Step 2: Convert to fraction form
    16,139,738.25/34,582,019.63 = 34,582,019.63/x
  3. Step 3: Cross multiply
    16,139,738.25x = 34,582,019.63 × 34,582,019.63
  4. Step 4: Simplify right side
    16,139,738.25x = 1,195,916,081,343,885.25
  5. Step 5: Solve for x
    x = 1,195,916,081,343,885.25/16,139,738.25
  6. Step 6: Final answer
    x = 74,097,613.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.