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Finding the Third Proportional to 1,046,170,278 and 2,258,763,624

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Solution

The third proportional to 1,046,170,278 and 2,258,763,624 is: 4,876,847,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,170,278 : 2,258,763,624 = 2,258,763,624 : x
  2. Step 2: Convert to fraction form
    1,046,170,278/2,258,763,624 = 2,258,763,624/x
  3. Step 3: Cross multiply
    1,046,170,278x = 2,258,763,624 × 2,258,763,624
  4. Step 4: Simplify right side
    1,046,170,278x = 5,102,013,109,105,613,824
  5. Step 5: Solve for x
    x = 5,102,013,109,105,613,824/1,046,170,278
  6. Step 6: Final answer
    x = 4,876,847,695.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.