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Finding the Third Proportional to 6,343,790 and 9,487,971

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Solution

The third proportional to 6,343,790 and 9,487,971 is: 14,190,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,790 : 9,487,971 = 9,487,971 : x
  2. Step 2: Convert to fraction form
    6,343,790/9,487,971 = 9,487,971/x
  3. Step 3: Cross multiply
    6,343,790x = 9,487,971 × 9,487,971
  4. Step 4: Simplify right side
    6,343,790x = 90,021,593,696,841
  5. Step 5: Solve for x
    x = 90,021,593,696,841/6,343,790
  6. Step 6: Final answer
    x = 14,190,506.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.