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Finding the Third Proportional to 10,296,535 and 13,968,187

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Solution

The third proportional to 10,296,535 and 13,968,187 is: 18,949,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296,535 : 13,968,187 = 13,968,187 : x
  2. Step 2: Convert to fraction form
    10,296,535/13,968,187 = 13,968,187/x
  3. Step 3: Cross multiply
    10,296,535x = 13,968,187 × 13,968,187
  4. Step 4: Simplify right side
    10,296,535x = 195,110,248,066,969
  5. Step 5: Solve for x
    x = 195,110,248,066,969/10,296,535
  6. Step 6: Final answer
    x = 18,949,117.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.