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Finding the Third Proportional to 930,919,881 and 2,025,281,502

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Solution

The third proportional to 930,919,881 and 2,025,281,502 is: 4,406,141,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,919,881 : 2,025,281,502 = 2,025,281,502 : x
  2. Step 2: Convert to fraction form
    930,919,881/2,025,281,502 = 2,025,281,502/x
  3. Step 3: Cross multiply
    930,919,881x = 2,025,281,502 × 2,025,281,502
  4. Step 4: Simplify right side
    930,919,881x = 4,101,765,162,343,375,872
  5. Step 5: Solve for x
    x = 4,101,765,162,343,375,872/930,919,881
  6. Step 6: Final answer
    x = 4,406,141,974.26

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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.