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Finding the Third Proportional to 32,740,164 and 51,359,586.75

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Solution

The third proportional to 32,740,164 and 51,359,586.75 is: 80,567,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740,164 : 51,359,586.75 = 51,359,586.75 : x
  2. Step 2: Convert to fraction form
    32,740,164/51,359,586.75 = 51,359,586.75/x
  3. Step 3: Cross multiply
    32,740,164x = 51,359,586.75 × 51,359,586.75
  4. Step 4: Simplify right side
    32,740,164x = 2,637,807,151,130,775.50
  5. Step 5: Solve for x
    x = 2,637,807,151,130,775.50/32,740,164
  6. Step 6: Final answer
    x = 80,567,927.24

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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.