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Finding the Third Proportional to 31,943,471.06 and 69,483,766.50

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Solution

The third proportional to 31,943,471.06 and 69,483,766.50 is: 151,141,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943,471.06 : 69,483,766.50 = 69,483,766.50 : x
  2. Step 2: Convert to fraction form
    31,943,471.06/69,483,766.50 = 69,483,766.50/x
  3. Step 3: Cross multiply
    31,943,471.06x = 69,483,766.50 × 69,483,766.50
  4. Step 4: Simplify right side
    31,943,471.06x = 4,827,993,807,026,522
  5. Step 5: Solve for x
    x = 4,827,993,807,026,522/31,943,471.06
  6. Step 6: Final answer
    x = 151,141,802.89

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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.