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Finding the Third Proportional to 10,903,367,579 and 23,717,117,984

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Solution

The third proportional to 10,903,367,579 and 23,717,117,984 is: 51,589,720,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903,367,579 : 23,717,117,984 = 23,717,117,984 : x
  2. Step 2: Convert to fraction form
    10,903,367,579/23,717,117,984 = 23,717,117,984/x
  3. Step 3: Cross multiply
    10,903,367,579x = 23,717,117,984 × 23,717,117,984
  4. Step 4: Simplify right side
    10,903,367,579x = 562,501,685,466,976,223,232
  5. Step 5: Solve for x
    x = 562,501,685,466,976,223,232/10,903,367,579
  6. Step 6: Final answer
    x = 51,589,720,459.43

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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.