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Finding the Third Proportional to 2,258,234,725 and 4,702,050,278

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Solution

The third proportional to 2,258,234,725 and 4,702,050,278 is: 9,790,513,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,234,725 : 4,702,050,278 = 4,702,050,278 : x
  2. Step 2: Convert to fraction form
    2,258,234,725/4,702,050,278 = 4,702,050,278/x
  3. Step 3: Cross multiply
    2,258,234,725x = 4,702,050,278 × 4,702,050,278
  4. Step 4: Simplify right side
    2,258,234,725x = 22,109,276,816,839,876,608
  5. Step 5: Solve for x
    x = 22,109,276,816,839,876,608/2,258,234,725
  6. Step 6: Final answer
    x = 9,790,513,170.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.