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Finding the Third Proportional to 6,513,906 and 9,581,307

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Solution

The third proportional to 6,513,906 and 9,581,307 is: 14,093,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,906 : 9,581,307 = 9,581,307 : x
  2. Step 2: Convert to fraction form
    6,513,906/9,581,307 = 9,581,307/x
  3. Step 3: Cross multiply
    6,513,906x = 9,581,307 × 9,581,307
  4. Step 4: Simplify right side
    6,513,906x = 91,801,443,828,249
  5. Step 5: Solve for x
    x = 91,801,443,828,249/6,513,906
  6. Step 6: Final answer
    x = 14,093,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.