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Finding the Third Proportional to 6,475,335 and 13,988,010

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Solution

The third proportional to 6,475,335 and 13,988,010 is: 30,216,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,335 : 13,988,010 = 13,988,010 : x
  2. Step 2: Convert to fraction form
    6,475,335/13,988,010 = 13,988,010/x
  3. Step 3: Cross multiply
    6,475,335x = 13,988,010 × 13,988,010
  4. Step 4: Simplify right side
    6,475,335x = 195,664,423,760,100
  5. Step 5: Solve for x
    x = 195,664,423,760,100/6,475,335
  6. Step 6: Final answer
    x = 30,216,880.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.