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Finding the Third Proportional to 6,705,009 and 14,927,607

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Solution

The third proportional to 6,705,009 and 14,927,607 is: 33,233,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705,009 : 14,927,607 = 14,927,607 : x
  2. Step 2: Convert to fraction form
    6,705,009/14,927,607 = 14,927,607/x
  3. Step 3: Cross multiply
    6,705,009x = 14,927,607 × 14,927,607
  4. Step 4: Simplify right side
    6,705,009x = 222,833,450,746,449
  5. Step 5: Solve for x
    x = 222,833,450,746,449/6,705,009
  6. Step 6: Final answer
    x = 33,233,877.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.