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Finding the Third Proportional to 20,294,119,504 and 31,047,730,512

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Solution

The third proportional to 20,294,119,504 and 31,047,730,512 is: 47,499,551,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294,119,504 : 31,047,730,512 = 31,047,730,512 : x
  2. Step 2: Convert to fraction form
    20,294,119,504/31,047,730,512 = 31,047,730,512/x
  3. Step 3: Cross multiply
    20,294,119,504x = 31,047,730,512 × 31,047,730,512
  4. Step 4: Simplify right side
    20,294,119,504x = 963,961,569,945,775,767,552
  5. Step 5: Solve for x
    x = 963,961,569,945,775,767,552/20,294,119,504
  6. Step 6: Final answer
    x = 47,499,551,274.24

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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.