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Finding the Third Proportional to 4,062,306,916 and 5,613,185,310

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Solution

The third proportional to 4,062,306,916 and 5,613,185,310 is: 7,756,146,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062,306,916 : 5,613,185,310 = 5,613,185,310 : x
  2. Step 2: Convert to fraction form
    4,062,306,916/5,613,185,310 = 5,613,185,310/x
  3. Step 3: Cross multiply
    4,062,306,916x = 5,613,185,310 × 5,613,185,310
  4. Step 4: Simplify right side
    4,062,306,916x = 31,507,849,324,399,796,224
  5. Step 5: Solve for x
    x = 31,507,849,324,399,796,224/4,062,306,916
  6. Step 6: Final answer
    x = 7,756,146,932.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.