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Finding the Third Proportional to 5,502,036,940 and 12,084,963,961

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Solution

The third proportional to 5,502,036,940 and 12,084,963,961 is: 26,544,051,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502,036,940 : 12,084,963,961 = 12,084,963,961 : x
  2. Step 2: Convert to fraction form
    5,502,036,940/12,084,963,961 = 12,084,963,961/x
  3. Step 3: Cross multiply
    5,502,036,940x = 12,084,963,961 × 12,084,963,961
  4. Step 4: Simplify right side
    5,502,036,940x = 146,046,353,938,668,814,336
  5. Step 5: Solve for x
    x = 146,046,353,938,668,814,336/5,502,036,940
  6. Step 6: Final answer
    x = 26,544,051,872.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.