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Finding the Third Proportional to 32,580,614.25 and 47,805,808.50

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Solution

The third proportional to 32,580,614.25 and 47,805,808.50 is: 70,145,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580,614.25 : 47,805,808.50 = 47,805,808.50 : x
  2. Step 2: Convert to fraction form
    32,580,614.25/47,805,808.50 = 47,805,808.50/x
  3. Step 3: Cross multiply
    32,580,614.25x = 47,805,808.50 × 47,805,808.50
  4. Step 4: Simplify right side
    32,580,614.25x = 2,285,395,326,338,672
  5. Step 5: Solve for x
    x = 2,285,395,326,338,672/32,580,614.25
  6. Step 6: Final answer
    x = 70,145,863.70

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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.