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Finding the Third Proportional to 22,398,196,380 and 47,991,189,453

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Solution

The third proportional to 22,398,196,380 and 47,991,189,453 is: 102,827,666,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398,196,380 : 47,991,189,453 = 47,991,189,453 : x
  2. Step 2: Convert to fraction form
    22,398,196,380/47,991,189,453 = 47,991,189,453/x
  3. Step 3: Cross multiply
    22,398,196,380x = 47,991,189,453 × 47,991,189,453
  4. Step 4: Simplify right side
    22,398,196,380x = 2,303,154,265,113,738,346,496
  5. Step 5: Solve for x
    x = 2,303,154,265,113,738,346,496/22,398,196,380
  6. Step 6: Final answer
    x = 102,827,666,390.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.