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Finding the Third Proportional to 10,031,186 and 14,339,139

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Solution

The third proportional to 10,031,186 and 14,339,139 is: 20,497,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031,186 : 14,339,139 = 14,339,139 : x
  2. Step 2: Convert to fraction form
    10,031,186/14,339,139 = 14,339,139/x
  3. Step 3: Cross multiply
    10,031,186x = 14,339,139 × 14,339,139
  4. Step 4: Simplify right side
    10,031,186x = 205,610,907,261,321
  5. Step 5: Solve for x
    x = 205,610,907,261,321/10,031,186
  6. Step 6: Final answer
    x = 20,497,168.26

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.