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Finding the Third Proportional to 10,263,906 and 14,349,545

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Solution

The third proportional to 10,263,906 and 14,349,545 is: 20,061,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263,906 : 14,349,545 = 14,349,545 : x
  2. Step 2: Convert to fraction form
    10,263,906/14,349,545 = 14,349,545/x
  3. Step 3: Cross multiply
    10,263,906x = 14,349,545 × 14,349,545
  4. Step 4: Simplify right side
    10,263,906x = 205,909,441,707,025
  5. Step 5: Solve for x
    x = 205,909,441,707,025/10,263,906
  6. Step 6: Final answer
    x = 20,061,508.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.