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Finding the Third Proportional to 32,579,538 and 47,872,029

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Solution

The third proportional to 32,579,538 and 47,872,029 is: 70,342,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,579,538 : 47,872,029 = 47,872,029 : x
  2. Step 2: Convert to fraction form
    32,579,538/47,872,029 = 47,872,029/x
  3. Step 3: Cross multiply
    32,579,538x = 47,872,029 × 47,872,029
  4. Step 4: Simplify right side
    32,579,538x = 2,291,731,160,576,841
  5. Step 5: Solve for x
    x = 2,291,731,160,576,841/32,579,538
  6. Step 6: Final answer
    x = 70,342,653.74

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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.