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Finding the Third Proportional to 29,835,831 and 42,113,068.50

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Solution

The third proportional to 29,835,831 and 42,113,068.50 is: 59,442,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835,831 : 42,113,068.50 = 42,113,068.50 : x
  2. Step 2: Convert to fraction form
    29,835,831/42,113,068.50 = 42,113,068.50/x
  3. Step 3: Cross multiply
    29,835,831x = 42,113,068.50 × 42,113,068.50
  4. Step 4: Simplify right side
    29,835,831x = 1,773,510,538,485,692.25
  5. Step 5: Solve for x
    x = 1,773,510,538,485,692.25/29,835,831
  6. Step 6: Final answer
    x = 59,442,304.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.