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Finding the Third Proportional to 2,165,444,444 and 4,641,673,894

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Solution

The third proportional to 2,165,444,444 and 4,641,673,894 is: 9,949,521,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165,444,444 : 4,641,673,894 = 4,641,673,894 : x
  2. Step 2: Convert to fraction form
    2,165,444,444/4,641,673,894 = 4,641,673,894/x
  3. Step 3: Cross multiply
    2,165,444,444x = 4,641,673,894 × 4,641,673,894
  4. Step 4: Simplify right side
    2,165,444,444x = 21,545,136,538,241,122,304
  5. Step 5: Solve for x
    x = 21,545,136,538,241,122,304/2,165,444,444
  6. Step 6: Final answer
    x = 9,949,521,724.25

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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.