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Finding the Third Proportional to 40,235,306 and 82,329,940

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Solution

The third proportional to 40,235,306 and 82,329,940 is: 168,464,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,235,306 : 82,329,940 = 82,329,940 : x
  2. Step 2: Convert to fraction form
    40,235,306/82,329,940 = 82,329,940/x
  3. Step 3: Cross multiply
    40,235,306x = 82,329,940 × 82,329,940
  4. Step 4: Simplify right side
    40,235,306x = 6,778,219,020,403,600
  5. Step 5: Solve for x
    x = 6,778,219,020,403,600/40,235,306
  6. Step 6: Final answer
    x = 168,464,458.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.