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Finding the Third Proportional to 1,161,391,957.31 and 1,775,415,456.84

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Solution

The third proportional to 1,161,391,957.31 and 1,775,415,456.84 is: 2,714,070,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,391,957.31 : 1,775,415,456.84 = 1,775,415,456.84 : x
  2. Step 2: Convert to fraction form
    1,161,391,957.31/1,775,415,456.84 = 1,775,415,456.84/x
  3. Step 3: Cross multiply
    1,161,391,957.31x = 1,775,415,456.84 × 1,775,415,456.84
  4. Step 4: Simplify right side
    1,161,391,957.31x = 3,152,100,044,399,879,168
  5. Step 5: Solve for x
    x = 3,152,100,044,399,879,168/1,161,391,957.31
  6. Step 6: Final answer
    x = 2,714,070,839.35

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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.