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Finding the Third Proportional to 404,715,882,780 and 899,920,460,654

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Solution

The third proportional to 404,715,882,780 and 899,920,460,654 is: 2,001,050,292,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,715,882,780 : 899,920,460,654 = 899,920,460,654 : x
  2. Step 2: Convert to fraction form
    404,715,882,780/899,920,460,654 = 899,920,460,654/x
  3. Step 3: Cross multiply
    404,715,882,780x = 899,920,460,654 × 899,920,460,654
  4. Step 4: Simplify right side
    404,715,882,780x = 809,856,835,503,707,566,112,768
  5. Step 5: Solve for x
    x = 809,856,835,503,707,566,112,768/404,715,882,780
  6. Step 6: Final answer
    x = 2,001,050,292,221.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.