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Finding the Third Proportional to 40,307,813.16 and 82,307,473.31

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Solution

The third proportional to 40,307,813.16 and 82,307,473.31 is: 168,069,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,307,813.16 : 82,307,473.31 = 82,307,473.31 : x
  2. Step 2: Convert to fraction form
    40,307,813.16/82,307,473.31 = 82,307,473.31/x
  3. Step 3: Cross multiply
    40,307,813.16x = 82,307,473.31 × 82,307,473.31
  4. Step 4: Simplify right side
    40,307,813.16x = 6,774,520,163,087,900
  5. Step 5: Solve for x
    x = 6,774,520,163,087,900/40,307,813.16
  6. Step 6: Final answer
    x = 168,069,652.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.