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Finding the Third Proportional to 17,686,117.13 and 38,212,084.13

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Solution

The third proportional to 17,686,117.13 and 38,212,084.13 is: 82,559,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686,117.13 : 38,212,084.13 = 38,212,084.13 : x
  2. Step 2: Convert to fraction form
    17,686,117.13/38,212,084.13 = 38,212,084.13/x
  3. Step 3: Cross multiply
    17,686,117.13x = 38,212,084.13 × 38,212,084.13
  4. Step 4: Simplify right side
    17,686,117.13x = 1,460,163,373,176,077
  5. Step 5: Solve for x
    x = 1,460,163,373,176,077/17,686,117.13
  6. Step 6: Final answer
    x = 82,559,861.10

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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.