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Finding the Third Proportional to 14,724,749 and 31,635,405

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Solution

The third proportional to 14,724,749 and 31,635,405 is: 67,967,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,724,749 : 31,635,405 = 31,635,405 : x
  2. Step 2: Convert to fraction form
    14,724,749/31,635,405 = 31,635,405/x
  3. Step 3: Cross multiply
    14,724,749x = 31,635,405 × 31,635,405
  4. Step 4: Simplify right side
    14,724,749x = 1,000,798,849,514,025
  5. Step 5: Solve for x
    x = 1,000,798,849,514,025/14,724,749
  6. Step 6: Final answer
    x = 67,967,124.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.