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Finding the Third Proportional to 7,357,848 and 16,084,272

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Solution

The third proportional to 7,357,848 and 16,084,272 is: 35,160,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357,848 : 16,084,272 = 16,084,272 : x
  2. Step 2: Convert to fraction form
    7,357,848/16,084,272 = 16,084,272/x
  3. Step 3: Cross multiply
    7,357,848x = 16,084,272 × 16,084,272
  4. Step 4: Simplify right side
    7,357,848x = 258,703,805,769,984
  5. Step 5: Solve for x
    x = 258,703,805,769,984/7,357,848
  6. Step 6: Final answer
    x = 35,160,254.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.