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Finding the Third Proportional to 31,156,012.13 and 67,798,113.75

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Solution

The third proportional to 31,156,012.13 and 67,798,113.75 is: 147,534,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156,012.13 : 67,798,113.75 = 67,798,113.75 : x
  2. Step 2: Convert to fraction form
    31,156,012.13/67,798,113.75 = 67,798,113.75/x
  3. Step 3: Cross multiply
    31,156,012.13x = 67,798,113.75 × 67,798,113.75
  4. Step 4: Simplify right side
    31,156,012.13x = 4,596,584,228,057,939
  5. Step 5: Solve for x
    x = 4,596,584,228,057,939/31,156,012.13
  6. Step 6: Final answer
    x = 147,534,421.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.