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Finding the Third Proportional to 4,882,864.50 and 10,606,374

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Solution

The third proportional to 4,882,864.50 and 10,606,374 is: 23,038,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882,864.50 : 10,606,374 = 10,606,374 : x
  2. Step 2: Convert to fraction form
    4,882,864.50/10,606,374 = 10,606,374/x
  3. Step 3: Cross multiply
    4,882,864.50x = 10,606,374 × 10,606,374
  4. Step 4: Simplify right side
    4,882,864.50x = 112,495,169,427,876
  5. Step 5: Solve for x
    x = 112,495,169,427,876/4,882,864.50
  6. Step 6: Final answer
    x = 23,038,765.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.