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Finding the Third Proportional to 4,906,159,186 and 10,700,281,552

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Solution

The third proportional to 4,906,159,186 and 10,700,281,552 is: 23,337,201,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906,159,186 : 10,700,281,552 = 10,700,281,552 : x
  2. Step 2: Convert to fraction form
    4,906,159,186/10,700,281,552 = 10,700,281,552/x
  3. Step 3: Cross multiply
    4,906,159,186x = 10,700,281,552 × 10,700,281,552
  4. Step 4: Simplify right side
    4,906,159,186x = 114,496,025,292,071,534,592
  5. Step 5: Solve for x
    x = 114,496,025,292,071,534,592/4,906,159,186
  6. Step 6: Final answer
    x = 23,337,201,454.61

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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.