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Finding the Third Proportional to 10,203,138,708 and 21,971,119,656

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Solution

The third proportional to 10,203,138,708 and 21,971,119,656 is: 47,311,921,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,138,708 : 21,971,119,656 = 21,971,119,656 : x
  2. Step 2: Convert to fraction form
    10,203,138,708/21,971,119,656 = 21,971,119,656/x
  3. Step 3: Cross multiply
    10,203,138,708x = 21,971,119,656 × 21,971,119,656
  4. Step 4: Simplify right side
    10,203,138,708x = 482,730,098,938,269,532,160
  5. Step 5: Solve for x
    x = 482,730,098,938,269,532,160/10,203,138,708
  6. Step 6: Final answer
    x = 47,311,921,630.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.