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Finding the Third Proportional to 508,995,102 and 778,284,063

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Solution

The third proportional to 508,995,102 and 778,284,063 is: 1,190,043,048.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,995,102 : 778,284,063 = 778,284,063 : x
  2. Step 2: Convert to fraction form
    508,995,102/778,284,063 = 778,284,063/x
  3. Step 3: Cross multiply
    508,995,102x = 778,284,063 × 778,284,063
  4. Step 4: Simplify right side
    508,995,102x = 605,726,082,719,788,032
  5. Step 5: Solve for x
    x = 605,726,082,719,788,032/508,995,102
  6. Step 6: Final answer
    x = 1,190,043,048.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.