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Finding the Third Proportional to 37,412,284,635 and 77,476,482,898.88

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Solution

The third proportional to 37,412,284,635 and 77,476,482,898.88 is: 160,444,769,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412,284,635 : 77,476,482,898.88 = 77,476,482,898.88 : x
  2. Step 2: Convert to fraction form
    37,412,284,635/77,476,482,898.88 = 77,476,482,898.88/x
  3. Step 3: Cross multiply
    37,412,284,635x = 77,476,482,898.88 × 77,476,482,898.88
  4. Step 4: Simplify right side
    37,412,284,635x = 6,002,605,402,379,669,995,520
  5. Step 5: Solve for x
    x = 6,002,605,402,379,669,995,520/37,412,284,635
  6. Step 6: Final answer
    x = 160,444,769,971.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.