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Finding the Third Proportional to 10,206,675,228 and 16,011,247,248

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Solution

The third proportional to 10,206,675,228 and 16,011,247,248 is: 25,116,899,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206,675,228 : 16,011,247,248 = 16,011,247,248 : x
  2. Step 2: Convert to fraction form
    10,206,675,228/16,011,247,248 = 16,011,247,248/x
  3. Step 3: Cross multiply
    10,206,675,228x = 16,011,247,248 × 16,011,247,248
  4. Step 4: Simplify right side
    10,206,675,228x = 256,360,038,436,587,569,152
  5. Step 5: Solve for x
    x = 256,360,038,436,587,569,152/10,206,675,228
  6. Step 6: Final answer
    x = 25,116,899,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.