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Finding the Third Proportional to 1,489,521,184 and 3,160,608,354

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Solution

The third proportional to 1,489,521,184 and 3,160,608,354 is: 6,706,480,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,521,184 : 3,160,608,354 = 3,160,608,354 : x
  2. Step 2: Convert to fraction form
    1,489,521,184/3,160,608,354 = 3,160,608,354/x
  3. Step 3: Cross multiply
    1,489,521,184x = 3,160,608,354 × 3,160,608,354
  4. Step 4: Simplify right side
    1,489,521,184x = 9,989,445,167,374,589,952
  5. Step 5: Solve for x
    x = 9,989,445,167,374,589,952/1,489,521,184
  6. Step 6: Final answer
    x = 6,706,480,763.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.