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Finding the Third Proportional to 7,571,952 and 16,428,240

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Solution

The third proportional to 7,571,952 and 16,428,240 is: 35,642,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571,952 : 16,428,240 = 16,428,240 : x
  2. Step 2: Convert to fraction form
    7,571,952/16,428,240 = 16,428,240/x
  3. Step 3: Cross multiply
    7,571,952x = 16,428,240 × 16,428,240
  4. Step 4: Simplify right side
    7,571,952x = 269,887,069,497,600
  5. Step 5: Solve for x
    x = 269,887,069,497,600/7,571,952
  6. Step 6: Final answer
    x = 35,642,997.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.