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Finding the Third Proportional to 6,701,478 and 14,631,913

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Solution

The third proportional to 6,701,478 and 14,631,913 is: 31,947,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701,478 : 14,631,913 = 14,631,913 : x
  2. Step 2: Convert to fraction form
    6,701,478/14,631,913 = 14,631,913/x
  3. Step 3: Cross multiply
    6,701,478x = 14,631,913 × 14,631,913
  4. Step 4: Simplify right side
    6,701,478x = 214,092,878,039,569
  5. Step 5: Solve for x
    x = 214,092,878,039,569/6,701,478
  6. Step 6: Final answer
    x = 31,947,113.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.