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Finding the Third Proportional to 29,932,023.50 and 64,338,394.50

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Solution

The third proportional to 29,932,023.50 and 64,338,394.50 is: 138,294,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932,023.50 : 64,338,394.50 = 64,338,394.50 : x
  2. Step 2: Convert to fraction form
    29,932,023.50/64,338,394.50 = 64,338,394.50/x
  3. Step 3: Cross multiply
    29,932,023.50x = 64,338,394.50 × 64,338,394.50
  4. Step 4: Simplify right side
    29,932,023.50x = 4,139,429,006,837,630
  5. Step 5: Solve for x
    x = 4,139,429,006,837,630/29,932,023.50
  6. Step 6: Final answer
    x = 138,294,325.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.