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Finding the Third Proportional to 10,203,138,712 and 21,971,119,664

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Solution

The third proportional to 10,203,138,712 and 21,971,119,664 is: 47,311,921,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,138,712 : 21,971,119,664 = 21,971,119,664 : x
  2. Step 2: Convert to fraction form
    10,203,138,712/21,971,119,664 = 21,971,119,664/x
  3. Step 3: Cross multiply
    10,203,138,712x = 21,971,119,664 × 21,971,119,664
  4. Step 4: Simplify right side
    10,203,138,712x = 482,730,099,289,807,454,208
  5. Step 5: Solve for x
    x = 482,730,099,289,807,454,208/10,203,138,712
  6. Step 6: Final answer
    x = 47,311,921,646.43

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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.