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Finding the Third Proportional to 10,786,690 and 23,174,263.50

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Solution

The third proportional to 10,786,690 and 23,174,263.50 is: 49,787,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786,690 : 23,174,263.50 = 23,174,263.50 : x
  2. Step 2: Convert to fraction form
    10,786,690/23,174,263.50 = 23,174,263.50/x
  3. Step 3: Cross multiply
    10,786,690x = 23,174,263.50 × 23,174,263.50
  4. Step 4: Simplify right side
    10,786,690x = 537,046,488,767,432.25
  5. Step 5: Solve for x
    x = 537,046,488,767,432.25/10,786,690
  6. Step 6: Final answer
    x = 49,787,885.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.