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Finding the Third Proportional to 31,566,756.38 and 67,832,825.63

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Solution

The third proportional to 31,566,756.38 and 67,832,825.63 is: 145,763,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,756.38 : 67,832,825.63 = 67,832,825.63 : x
  2. Step 2: Convert to fraction form
    31,566,756.38/67,832,825.63 = 67,832,825.63/x
  3. Step 3: Cross multiply
    31,566,756.38x = 67,832,825.63 × 67,832,825.63
  4. Step 4: Simplify right side
    31,566,756.38x = 4,601,292,232,271,657
  5. Step 5: Solve for x
    x = 4,601,292,232,271,657/31,566,756.38
  6. Step 6: Final answer
    x = 145,763,859.22

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