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Finding the Third Proportional to 446,068,464 and 966,259,705

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Solution

The third proportional to 446,068,464 and 966,259,705 is: 2,093,081,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,068,464 : 966,259,705 = 966,259,705 : x
  2. Step 2: Convert to fraction form
    446,068,464/966,259,705 = 966,259,705/x
  3. Step 3: Cross multiply
    446,068,464x = 966,259,705 × 966,259,705
  4. Step 4: Simplify right side
    446,068,464x = 933,657,817,506,686,976
  5. Step 5: Solve for x
    x = 933,657,817,506,686,976/446,068,464
  6. Step 6: Final answer
    x = 2,093,081,876.12

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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.