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Finding the Third Proportional to 9,265,054 and 13,970,482

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Solution

The third proportional to 9,265,054 and 13,970,482 is: 21,065,648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265,054 : 13,970,482 = 13,970,482 : x
  2. Step 2: Convert to fraction form
    9,265,054/13,970,482 = 13,970,482/x
  3. Step 3: Cross multiply
    9,265,054x = 13,970,482 × 13,970,482
  4. Step 4: Simplify right side
    9,265,054x = 195,174,367,312,324
  5. Step 5: Solve for x
    x = 195,174,367,312,324/9,265,054
  6. Step 6: Final answer
    x = 21,065,648.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.