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Finding the Third Proportional to 1,161,391,970 and 1,775,415,477

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Solution

The third proportional to 1,161,391,970 and 1,775,415,477 is: 2,714,070,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,391,970 : 1,775,415,477 = 1,775,415,477 : x
  2. Step 2: Convert to fraction form
    1,161,391,970/1,775,415,477 = 1,775,415,477/x
  3. Step 3: Cross multiply
    1,161,391,970x = 1,775,415,477 × 1,775,415,477
  4. Step 4: Simplify right side
    1,161,391,970x = 3,152,100,115,971,137,536
  5. Step 5: Solve for x
    x = 3,152,100,115,971,137,536/1,161,391,970
  6. Step 6: Final answer
    x = 2,714,070,871.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.