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Finding the Third Proportional to 11,348,206.31 and 23,503,916.81

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Solution

The third proportional to 11,348,206.31 and 23,503,916.81 is: 48,680,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348,206.31 : 23,503,916.81 = 23,503,916.81 : x
  2. Step 2: Convert to fraction form
    11,348,206.31/23,503,916.81 = 23,503,916.81/x
  3. Step 3: Cross multiply
    11,348,206.31x = 23,503,916.81 × 23,503,916.81
  4. Step 4: Simplify right side
    11,348,206.31x = 552,434,105,528,920.19
  5. Step 5: Solve for x
    x = 552,434,105,528,920.19/11,348,206.31
  6. Step 6: Final answer
    x = 48,680,301.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.