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Finding the Third Proportional to 4,906,159,227 and 10,700,281,629

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Solution

The third proportional to 4,906,159,227 and 10,700,281,629 is: 23,337,201,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906,159,227 : 10,700,281,629 = 10,700,281,629 : x
  2. Step 2: Convert to fraction form
    4,906,159,227/10,700,281,629 = 10,700,281,629/x
  3. Step 3: Cross multiply
    4,906,159,227x = 10,700,281,629 × 10,700,281,629
  4. Step 4: Simplify right side
    4,906,159,227x = 114,496,026,939,914,895,360
  5. Step 5: Solve for x
    x = 114,496,026,939,914,895,360/4,906,159,227
  6. Step 6: Final answer
    x = 23,337,201,595.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.