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Finding the Third Proportional to 2,165,444,442 and 4,641,673,890

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Solution

The third proportional to 2,165,444,442 and 4,641,673,890 is: 9,949,521,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,444,442 : 4,641,673,890 = 4,641,673,890 : x
  2. Step 2: Convert to fraction form
    2,165,444,442/4,641,673,890 = 4,641,673,890/x
  3. Step 3: Cross multiply
    2,165,444,442x = 4,641,673,890 × 4,641,673,890
  4. Step 4: Simplify right side
    2,165,444,442x = 21,545,136,501,107,732,480
  5. Step 5: Solve for x
    x = 21,545,136,501,107,732,480/2,165,444,442
  6. Step 6: Final answer
    x = 9,949,521,716.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.