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Finding the Third Proportional to 42,654,730.13 and 91,879,814.63

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Solution

The third proportional to 42,654,730.13 and 91,879,814.63 is: 197,912,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,654,730.13 : 91,879,814.63 = 91,879,814.63 : x
  2. Step 2: Convert to fraction form
    42,654,730.13/91,879,814.63 = 91,879,814.63/x
  3. Step 3: Cross multiply
    42,654,730.13x = 91,879,814.63 × 91,879,814.63
  4. Step 4: Simplify right side
    42,654,730.13x = 8,441,900,335,524,364
  5. Step 5: Solve for x
    x = 8,441,900,335,524,364/42,654,730.13
  6. Step 6: Final answer
    x = 197,912,407.62

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Why These Related Problems?

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