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Finding the Third Proportional to 7,029,768 and 11,252,208

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Solution

The third proportional to 7,029,768 and 11,252,208 is: 18,010,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029,768 : 11,252,208 = 11,252,208 : x
  2. Step 2: Convert to fraction form
    7,029,768/11,252,208 = 11,252,208/x
  3. Step 3: Cross multiply
    7,029,768x = 11,252,208 × 11,252,208
  4. Step 4: Simplify right side
    7,029,768x = 126,612,184,875,264
  5. Step 5: Solve for x
    x = 126,612,184,875,264/7,029,768
  6. Step 6: Final answer
    x = 18,010,862.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.