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Finding the Third Proportional to 1,098,259,088 and 1,673,084,247

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Solution

The third proportional to 1,098,259,088 and 1,673,084,247 is: 2,548,770,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,259,088 : 1,673,084,247 = 1,673,084,247 : x
  2. Step 2: Convert to fraction form
    1,098,259,088/1,673,084,247 = 1,673,084,247/x
  3. Step 3: Cross multiply
    1,098,259,088x = 1,673,084,247 × 1,673,084,247
  4. Step 4: Simplify right side
    1,098,259,088x = 2,799,210,897,559,557,120
  5. Step 5: Solve for x
    x = 2,799,210,897,559,557,120/1,098,259,088
  6. Step 6: Final answer
    x = 2,548,770,985.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.