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Finding the Third Proportional to 943,878,118.78 and 1,312,387,077.73

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Solution

The third proportional to 943,878,118.78 and 1,312,387,077.73 is: 1,824,769,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,878,118.78 : 1,312,387,077.73 = 1,312,387,077.73 : x
  2. Step 2: Convert to fraction form
    943,878,118.78/1,312,387,077.73 = 1,312,387,077.73/x
  3. Step 3: Cross multiply
    943,878,118.78x = 1,312,387,077.73 × 1,312,387,077.73
  4. Step 4: Simplify right side
    943,878,118.78x = 1,722,359,841,783,764,736
  5. Step 5: Solve for x
    x = 1,722,359,841,783,764,736/943,878,118.78
  6. Step 6: Final answer
    x = 1,824,769,329.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.