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Finding the Third Proportional to 2,224,273,080 and 4,793,010,001

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Solution

The third proportional to 2,224,273,080 and 4,793,010,001 is: 10,328,293,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,273,080 : 4,793,010,001 = 4,793,010,001 : x
  2. Step 2: Convert to fraction form
    2,224,273,080/4,793,010,001 = 4,793,010,001/x
  3. Step 3: Cross multiply
    2,224,273,080x = 4,793,010,001 × 4,793,010,001
  4. Step 4: Simplify right side
    2,224,273,080x = 22,972,944,869,686,018,048
  5. Step 5: Solve for x
    x = 22,972,944,869,686,018,048/2,224,273,080
  6. Step 6: Final answer
    x = 10,328,293,354.02

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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.