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Finding the Third Proportional to 20,294,119,512 and 31,047,730,524

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Solution

The third proportional to 20,294,119,512 and 31,047,730,524 is: 47,499,551,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294,119,512 : 31,047,730,524 = 31,047,730,524 : x
  2. Step 2: Convert to fraction form
    20,294,119,512/31,047,730,524 = 31,047,730,524/x
  3. Step 3: Cross multiply
    20,294,119,512x = 31,047,730,524 × 31,047,730,524
  4. Step 4: Simplify right side
    20,294,119,512x = 963,961,570,690,921,267,200
  5. Step 5: Solve for x
    x = 963,961,570,690,921,267,200/20,294,119,512
  6. Step 6: Final answer
    x = 47,499,551,292.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.