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Finding the Third Proportional to 508,995,097 and 778,284,055

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Solution

The third proportional to 508,995,097 and 778,284,055 is: 1,190,043,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,995,097 : 778,284,055 = 778,284,055 : x
  2. Step 2: Convert to fraction form
    508,995,097/778,284,055 = 778,284,055/x
  3. Step 3: Cross multiply
    508,995,097x = 778,284,055 × 778,284,055
  4. Step 4: Simplify right side
    508,995,097x = 605,726,070,267,243,008
  5. Step 5: Solve for x
    x = 605,726,070,267,243,008/508,995,097
  6. Step 6: Final answer
    x = 1,190,043,035.46

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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.