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Finding the Third Proportional to 13,573,900 and 29,090,864

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Solution

The third proportional to 13,573,900 and 29,090,864 is: 62,345,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573,900 : 29,090,864 = 29,090,864 : x
  2. Step 2: Convert to fraction form
    13,573,900/29,090,864 = 29,090,864/x
  3. Step 3: Cross multiply
    13,573,900x = 29,090,864 × 29,090,864
  4. Step 4: Simplify right side
    13,573,900x = 846,278,368,266,496
  5. Step 5: Solve for x
    x = 846,278,368,266,496/13,573,900
  6. Step 6: Final answer
    x = 62,345,999.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.