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Finding the Third Proportional to 961,844,327 and 2,100,776,575

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Solution

The third proportional to 961,844,327 and 2,100,776,575 is: 4,588,333,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,844,327 : 2,100,776,575 = 2,100,776,575 : x
  2. Step 2: Convert to fraction form
    961,844,327/2,100,776,575 = 2,100,776,575/x
  3. Step 3: Cross multiply
    961,844,327x = 2,100,776,575 × 2,100,776,575
  4. Step 4: Simplify right side
    961,844,327x = 4,413,262,218,068,730,880
  5. Step 5: Solve for x
    x = 4,413,262,218,068,730,880/961,844,327
  6. Step 6: Final answer
    x = 4,588,333,157.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.