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Finding the Third Proportional to 34,525,584 and 75,553,008

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Solution

The third proportional to 34,525,584 and 75,553,008 is: 165,334,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525,584 : 75,553,008 = 75,553,008 : x
  2. Step 2: Convert to fraction form
    34,525,584/75,553,008 = 75,553,008/x
  3. Step 3: Cross multiply
    34,525,584x = 75,553,008 × 75,553,008
  4. Step 4: Simplify right side
    34,525,584x = 5,708,257,017,848,064
  5. Step 5: Solve for x
    x = 5,708,257,017,848,064/34,525,584
  6. Step 6: Final answer
    x = 165,334,119.12

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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.