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Finding the Third Proportional to 11,021,754,879 and 17,019,963,729

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Solution

The third proportional to 11,021,754,879 and 17,019,963,729 is: 26,282,490,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021,754,879 : 17,019,963,729 = 17,019,963,729 : x
  2. Step 2: Convert to fraction form
    11,021,754,879/17,019,963,729 = 17,019,963,729/x
  3. Step 3: Cross multiply
    11,021,754,879x = 17,019,963,729 × 17,019,963,729
  4. Step 4: Simplify right side
    11,021,754,879x = 289,679,165,336,475,598,848
  5. Step 5: Solve for x
    x = 289,679,165,336,475,598,848/11,021,754,879
  6. Step 6: Final answer
    x = 26,282,490,267.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.