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Finding the Third Proportional to 32,133,343.50 and 48,952,957.50

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Solution

The third proportional to 32,133,343.50 and 48,952,957.50 is: 74,576,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133,343.50 : 48,952,957.50 = 48,952,957.50 : x
  2. Step 2: Convert to fraction form
    32,133,343.50/48,952,957.50 = 48,952,957.50/x
  3. Step 3: Cross multiply
    32,133,343.50x = 48,952,957.50 × 48,952,957.50
  4. Step 4: Simplify right side
    32,133,343.50x = 2,396,392,047,996,806
  5. Step 5: Solve for x
    x = 2,396,392,047,996,806/32,133,343.50
  6. Step 6: Final answer
    x = 74,576,492.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.