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Finding the Third Proportional to 1,161,391,866 and 1,775,415,286

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Solution

The third proportional to 1,161,391,866 and 1,775,415,286 is: 2,714,070,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,391,866 : 1,775,415,286 = 1,775,415,286 : x
  2. Step 2: Convert to fraction form
    1,161,391,866/1,775,415,286 = 1,775,415,286/x
  3. Step 3: Cross multiply
    1,161,391,866x = 1,775,415,286 × 1,775,415,286
  4. Step 4: Simplify right side
    1,161,391,866x = 3,152,099,437,762,461,696
  5. Step 5: Solve for x
    x = 3,152,099,437,762,461,696/1,161,391,866
  6. Step 6: Final answer
    x = 2,714,070,530.40

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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.