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Finding the Third Proportional to 32,808,336.75 and 71,795,677.50

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Solution

The third proportional to 32,808,336.75 and 71,795,677.50 is: 157,113,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808,336.75 : 71,795,677.50 = 71,795,677.50 : x
  2. Step 2: Convert to fraction form
    32,808,336.75/71,795,677.50 = 71,795,677.50/x
  3. Step 3: Cross multiply
    32,808,336.75x = 71,795,677.50 × 71,795,677.50
  4. Step 4: Simplify right side
    32,808,336.75x = 5,154,619,307,684,006
  5. Step 5: Solve for x
    x = 5,154,619,307,684,006/32,808,336.75
  6. Step 6: Final answer
    x = 157,113,094.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.