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Finding the Third Proportional to 813,644,583.75 and 1,765,995,258.38

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Solution

The third proportional to 813,644,583.75 and 1,765,995,258.38 is: 3,833,048,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,644,583.75 : 1,765,995,258.38 = 1,765,995,258.38 : x
  2. Step 2: Convert to fraction form
    813,644,583.75/1,765,995,258.38 = 1,765,995,258.38/x
  3. Step 3: Cross multiply
    813,644,583.75x = 1,765,995,258.38 × 1,765,995,258.38
  4. Step 4: Simplify right side
    813,644,583.75x = 3,118,739,252,602,982,912
  5. Step 5: Solve for x
    x = 3,118,739,252,602,982,912/813,644,583.75
  6. Step 6: Final answer
    x = 3,833,048,624.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.