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Finding the Third Proportional to 10,903,367,575 and 23,717,117,976

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Solution

The third proportional to 10,903,367,575 and 23,717,117,976 is: 51,589,720,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,367,575 : 23,717,117,976 = 23,717,117,976 : x
  2. Step 2: Convert to fraction form
    10,903,367,575/23,717,117,976 = 23,717,117,976/x
  3. Step 3: Cross multiply
    10,903,367,575x = 23,717,117,976 × 23,717,117,976
  4. Step 4: Simplify right side
    10,903,367,575x = 562,501,685,087,502,336,000
  5. Step 5: Solve for x
    x = 562,501,685,087,502,336,000/10,903,367,575
  6. Step 6: Final answer
    x = 51,589,720,443.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.