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Finding the Third Proportional to 3,945,772,674 and 8,586,160,272

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Solution

The third proportional to 3,945,772,674 and 8,586,160,272 is: 18,683,830,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945,772,674 : 8,586,160,272 = 8,586,160,272 : x
  2. Step 2: Convert to fraction form
    3,945,772,674/8,586,160,272 = 8,586,160,272/x
  3. Step 3: Cross multiply
    3,945,772,674x = 8,586,160,272 × 8,586,160,272
  4. Step 4: Simplify right side
    3,945,772,674x = 73,722,148,216,471,117,824
  5. Step 5: Solve for x
    x = 73,722,148,216,471,117,824/3,945,772,674
  6. Step 6: Final answer
    x = 18,683,830,597.30

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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.