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Finding the Third Proportional to 32,580,623 and 47,805,820

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Solution

The third proportional to 32,580,623 and 47,805,820 is: 70,145,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580,623 : 47,805,820 = 47,805,820 : x
  2. Step 2: Convert to fraction form
    32,580,623/47,805,820 = 47,805,820/x
  3. Step 3: Cross multiply
    32,580,623x = 47,805,820 × 47,805,820
  4. Step 4: Simplify right side
    32,580,623x = 2,285,396,425,872,400
  5. Step 5: Solve for x
    x = 2,285,396,425,872,400/32,580,623
  6. Step 6: Final answer
    x = 70,145,878.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.