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Finding the Third Proportional to 765,617,058 and 1,187,793,036

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Solution

The third proportional to 765,617,058 and 1,187,793,036 is: 1,842,764,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,617,058 : 1,187,793,036 = 1,187,793,036 : x
  2. Step 2: Convert to fraction form
    765,617,058/1,187,793,036 = 1,187,793,036/x
  3. Step 3: Cross multiply
    765,617,058x = 1,187,793,036 × 1,187,793,036
  4. Step 4: Simplify right side
    765,617,058x = 1,410,852,296,370,097,408
  5. Step 5: Solve for x
    x = 1,410,852,296,370,097,408/765,617,058
  6. Step 6: Final answer
    x = 1,842,764,971.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.