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Finding the Third Proportional to 32,078,033 and 74,851,330.50

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Solution

The third proportional to 32,078,033 and 74,851,330.50 is: 174,659,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,033 : 74,851,330.50 = 74,851,330.50 : x
  2. Step 2: Convert to fraction form
    32,078,033/74,851,330.50 = 74,851,330.50/x
  3. Step 3: Cross multiply
    32,078,033x = 74,851,330.50 × 74,851,330.50
  4. Step 4: Simplify right side
    32,078,033x = 5,602,721,677,620,230
  5. Step 5: Solve for x
    x = 5,602,721,677,620,230/32,078,033
  6. Step 6: Final answer
    x = 174,659,140.65

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.