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Finding the Third Proportional to 454,728,211 and 986,638,118

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Solution

The third proportional to 454,728,211 and 986,638,118 is: 2,140,739,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,728,211 : 986,638,118 = 986,638,118 : x
  2. Step 2: Convert to fraction form
    454,728,211/986,638,118 = 986,638,118/x
  3. Step 3: Cross multiply
    454,728,211x = 986,638,118 × 986,638,118
  4. Step 4: Simplify right side
    454,728,211x = 973,454,775,890,581,888
  5. Step 5: Solve for x
    x = 973,454,775,890,581,888/454,728,211
  6. Step 6: Final answer
    x = 2,140,739,792.13

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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.