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Finding the Third Proportional to 3,663,695 and 7,831,582

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Solution

The third proportional to 3,663,695 and 7,831,582 is: 16,740,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,695 : 7,831,582 = 7,831,582 : x
  2. Step 2: Convert to fraction form
    3,663,695/7,831,582 = 7,831,582/x
  3. Step 3: Cross multiply
    3,663,695x = 7,831,582 × 7,831,582
  4. Step 4: Simplify right side
    3,663,695x = 61,333,676,622,724
  5. Step 5: Solve for x
    x = 61,333,676,622,724/3,663,695
  6. Step 6: Final answer
    x = 16,740,934.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.