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Finding the Third Proportional to 3,030,352,541,471 and 6,594,169,337,864

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Solution

The third proportional to 3,030,352,541,471 and 6,594,169,337,864 is: 14,349,178,407,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030,352,541,471 : 6,594,169,337,864 = 6,594,169,337,864 : x
  2. Step 2: Convert to fraction form
    3,030,352,541,471/6,594,169,337,864 = 6,594,169,337,864/x
  3. Step 3: Cross multiply
    3,030,352,541,471x = 6,594,169,337,864 × 6,594,169,337,864
  4. Step 4: Simplify right side
    3,030,352,541,471x = 43,483,069,256,425,743,073,673,216
  5. Step 5: Solve for x
    x = 43,483,069,256,425,743,073,673,216/3,030,352,541,471
  6. Step 6: Final answer
    x = 14,349,178,407,908.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.