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Finding the Third Proportional to 52,500,537 and 82,170,301

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Solution

The third proportional to 52,500,537 and 82,170,301 is: 128,607,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500,537 : 82,170,301 = 82,170,301 : x
  2. Step 2: Convert to fraction form
    52,500,537/82,170,301 = 82,170,301/x
  3. Step 3: Cross multiply
    52,500,537x = 82,170,301 × 82,170,301
  4. Step 4: Simplify right side
    52,500,537x = 6,751,958,366,430,601
  5. Step 5: Solve for x
    x = 6,751,958,366,430,601/52,500,537
  6. Step 6: Final answer
    x = 128,607,415.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.